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  Selected Sites   (see also All Sites in this category)

  1. The Development of Group Theory - MacTutor Math History Archives
    Linked essay describing the rise and progress of group theory from the 18th through the 19th centuries, with references (books/articles). more>>

  2. GR Group Theory (Front for the Mathematics ArXiv) - Univ. of California, Davis
    Group Theory preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. more>>

  3. Group Pub Forum - G. C. Smith
    The community pages for discussing any aspect of Group Theory, the mathematics of symmetry. Group Theory is a branch of algebra, but has strong connections with almost all parts of mathematics. Announcements, books and journals, conference information, archive of GPF email, mathematical resources, research announcements, and the Group Pub Forum Problem Book, where research problems submitted to the forum are stored. more>>

  4. Group Theory - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to group theory. Group theory can be considered the study of symmetry: the collection of symmetries of some object preserving some of its structure forms a group; in some sense all groups arise this way. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>

  5. An Introduction to Group Theory - Loren Pomeroy
    An online textbook/tutorial in elementary group theory. Group theory takes an abstract approach, dealing with many mathematical systems at once and requiring only that a mathematical system obey a few simple rules, seeking then to find properties common to all systems that obey these few rules. Contents include: What is Group Theory; Examples of Groups; Housekeeping Theorems; Cayley Tables; Subgroups; Cosets; Lagrange's Theorem; Cyclic Groups and Subgroups; and Permutations. From The Dog School of Mathematics. more>>


 
  All Sites - 71 items found, showing 1 to 50

  1. Abstract Finite Groups - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to finite groups - their internal properties: all those results about group theory for which a consideration of the order of elements is a central part of the question. History, applications and related ...more>>

  2. Algebraic Combinatorics Via Finite Group Actions - A. Betten, H. Fripertinger, A. Kerber
    An Internet book with chapters on Actions: Actions of Groups; Bilateral classes, symmetry classes of mappings; Finite symmetric groups; Complete monomial groups; Enumeration of symmetry classes; The involution principle; and Special symmetry classes; ...more>>

  3. Algebra - University of Wales, Bangor
    A paper describing research interests in algebra at Bangor, which have to a large extent been motivated by problems in algebraic topology and homological algebra. The recent spate of new and exciting concepts (crossed modules, crossed n-cubes, nonabelian ...more>>

  4. arXiv.org e-Print archive - Los Alamos National Laboratory (LANL)
    A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex Variables, Logic E-prints, Commutative Algebra, Dynamical Systems, ...more>>

  5. ATLAS of Finite Group representations - R. A. Wilson
    Representations of many finite simple groups and related groups such as covering groups and automorphism groups of simple groups. Contents: groups: Alternating & Symmetric, Lie type, and sporadic. Includes experimental generic group pagemaker and an experimental ...more>>

  6. Books: Professional & Technical: Professional Science: Mathematics - Amazon.com
    Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations; ...more>>

  7. Commutative Semigroups (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
    Definition and examples of commutative semigroups. A link to general information about semigroups. ...more>>

  8. Completing Latin Squares - Ivars Peterson (MathTrek)
    Using only the numbers 1, 2, 3, and 4, arrange four sets of these numbers into a four-by-four array so that no column or row contains the same two numbers. The result is known as a Latin square... in Latin squares of order 4, each row (and each column) ...more>>

  9. Computer Lab Courseware - University of Toronto
    Courseware to help in the teaching of various mathematical concepts. Most is made up of Mathematica notebooks and packages, but some consists of C programs written to run under X-Windows. A lab manual in TeX beginning with an introduction to UNIX and ...more>>

  10. Course Notes - J. S. Milne
    Full course notes in dvi, pdf, and postscript formats for all the advanced courses J. S. Milne taught at the University of Michigan between 1986 and 1999: Group Theory; Fields and Galois Theory; Algebraic Number Theory; Class Field Theory; Modular Functions ...more>>

  11. CT Category Theory (Front for the Mathematics ArXiv) - Univ. of California, Davis
    Category Theory preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. ...more>>

  12. David Marius Bressoud
    David Bressoud has written several undergraduate textbooks that use physics and the history of mathematics to motivate the study of multi-variable calculus, number theory, real analysis. Other books include A Course in Computational Number Theory and ...more>>

  13. Entropic Groupoids (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
    Definition, examples, and references about entropic or medial groupoids. Links to related terms in the Catalogue. ...more>>

  14. An essay on patterns in musical composition, transformation, mathematical groups and the nature of musical substance - Bill Hammel
    An article on music composition and history, with a discussion of the organizing principles of various musical scales as they affect musical composition and links to related sites. ...more>>

  15. Field Theory and Polynomials - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to field theory and polynomials. Field theory looks at sets, such as the real number line, on which all the usual arithmetic properties hold, including, now, those of division. The study of multiple ...more>>

  16. Finite Rank Torsion Free Modules Over Dedekind Domains - E. Lee Lady; University of Hawaii
    A book that discusses abelian group theory as not just another variety of group theory but the study of modules over principal ideal domains, a highly specialized branch of commutative ring theory. Postscript and DVI versions. Chapters: Modules Over Commutative ...more>>

  17. Freaky Links - Cut the Knot!, Alexander Bogomolny with William A. McWorter Jr.
    Mathematics impinges on itself and the sciences in unexpected and bizarre ways. This page is a small illustration of this phenomenon, taking up recreational mathematics and the game of Chinese checkers, the strategy game called Hex, quasigroups, and block ...more>>

  18. Front for the Mathematics ArXiv - Univ. of California, Davis
    U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex ...more>>

  19. The Galois Story - Ivars Peterson (MathTrek)
    The life and death, myth and reality, of Evariste Galois, with a short bibliography. ...more>>

  20. GAP: Groups, Algorithms, and Programming - GAP Group; UK, Germany, USA, Australia
    A system for computational discrete algebra with particular emphasis on, but not restricted to computational group theory. GAP and its sources, including share packages, data library and a manual, are distributed freely, subject to conditions detailed ...more>>

  21. The Generalized Theory of Life - Vyacheslav L. Kalmykov; Institute of Cell Biophysics, Russian Academy of Sciences
    A paper that presents an integrally generalized theory or conceptualization of life that includes elements of an axiomatic approach and is physically interpretable, formulated as the result of attempts to invent a holistic system of creative synthetic ...more>>

  22. The Geometry Junkyard - David Eppstein, Theory Group, ICS, Univ. of California at Irvine
    A collection of usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry - some serious and much also entertaining. Junk sorted into piles (Topics): ...more>>

  23. Graph Theory - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to graph theory. A graph is a set V of vertices and a set E of edges - pairs of elements of V. This simple definition makes Graph Theory the appropriate language for discussing (binary) relations on ...more>>

  24. Groupoids (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
    Definition, examples, decision problems, spectra and growth, references, and subsystems about groupoids. ...more>>

  25. Groups32 - John J. Wavrik, University of California at San Diego
    A group theory calculator. Groups32 computes information about groups of orders 1-32; has a permutation group package; and provides a search for groups with given generators and relations. Site includes documentation as well as course handouts in PDF ...more>>

  26. Groups (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
    Definition, examples, decision problems, spectra and growth, references, subsystems about groups. Links to related terms in the Catalogue. ...more>>

  27. Groups & Graphs Home Page - Bill Kocay
    A software package for graphs, digraphs, combinatorial designs, and their automorphism groups. Features include automorphism group computation; graph certificate which identifies a graph uniquely up to isomorphism; Hamiltonian cycles; planarity test and ...more>>

  28. HAKMEM - Beeler, Gosper, Schroeppel; Artificial Intelligence Laboratory, MIT
    A list of math and computer-related problems, unsolved in 1972 when the list originated, compiled "with the hope that a record of the random things people do around here can save some duplication of effort - except for fun." Topics include: Geometry, ...more>>

  29. A history of the Burnside problem - MacTutor Math History Archives
    Linked essay on the development of the questions: Is a finitely generated periodic group necessarily finite? Is a finitely generated periodic group of bounded exponent necessarily finite? ...more>>

  30. Ido Efrat
    A mathematics professor at Ben Gurion University of the Negev in Israel. Site includes the syllabi for current courses and a list of Efrat's publications in abstract algebra, especially group theory. Some articles may be downloaded in PDF or DVI format. ...more>>

  31. Introducing Mathematics
    This website looks at some areas of mathematics that are not familiar to most people, such as Ramsey theory and set theory, but introduces them in an uncomplicated manner. ...more>>

  32. Inverse Property (IP) Quasigroups (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
    Definition, examples, and references about IP quasigroups, and links to related terms in the Catalogue. ...more>>

  33. Jaap's Scratch Pad - Jaap Scherphuis
    Java applets, generators, and solutions for sudoku, Rubik's Cube, "moving pieces" puzzles, permutation puzzles, and more, including sphere symmetries, polyform, Towers of Hanoi, and many lesser known puzzles from this collector. Scherphuis' articles range ...more>>

  34. John Stembridge
    John Stembridge researches algebra and combinatorics. His papers on these subjects are available online as gzipped PostScript files. The site contains an archive of related research data such as lists of posets on 8 or fewer vertices and Coxeter graph ...more>>

  35. Jon McCammond
    A mathematician at Texas A&M University. Research interests include geometric group theory and low-dimensional topology, as well as combinatorics, graph theory, and computational geometry. Preprints can be downloaded in PostScript format. Current ...more>>

  36. Library of Math - David A. Smith
    Definitions, comments, examples, propositions, and proofs on Business Algebra, Business Calculus, Calculus I, Calculus III, Euclidean Geometry, Financial Mathematics, Group Theory, and Trigonometry. The Library of Math website was designed to be a "browser-quiet" ...more>>

  37. Magnus: A System for Exploring Infinite Groups - New York Group Theory Cooperative, CCNY
    A free, intuitive, graphically driven object-oriented package for computational group theory, exploring infinite groups. From the New York Group Theory Cooperative at CCNY, which also provides links to an archive of preprints and open problems in combinatorial ...more>>

  38. Margo Lynn Mankus - Margo Lynn Mankus
    Talks include Using Virtual Manipulatives on the Web to Develop Number Sense, Connecting Whole Number Arithmetic to Algebra: Hands-On/Number Sense Activities, and Learning About Nutrition Using the TI-73 and the Web. Also, online or downloadable classroom ...more>>

  39. Mathematical BBS (Mathematics) - Mathematics Dept., Univ. of Ferrara, Italy
    Collections of resources: Associations, Departments, Disciplines, Journals, Industrial mathematics, the mathematician. Disciplines include: Algebra; Algebraic geometry; Analysis; Applied Mathematics; Categories; Combinatorics; Complex analysis; Computational ...more>>

  40. Mathematics by Somos - Michael Somos
    A mathematician at Cleveland State University and the originator of Somos Polynomials and the Somos Sequence. Brief discussions of these objects, as well as rational triangles and Pythagorean triples, may be found on this site along with links to resources ...more>>

  41. Mathematics - John Savard
    A collection of essays and illustrations: pentagonal tilings, infinity (Cantor's theory of transfinite numbers), rotations of the dodecahedron, Archimedean solids, the fourth dimension (regular polytopes), Gödel's proof and the halting problem, and ...more>>

  42. Mathematics Museum (Japan)
    Exhibits: Deformation of Catenoid to Helocoid; Geometry of wallpaper patterns (with interactive examinations); Math-Cut Studium; Soliton-Lab Art Gallery; Sangaku (Japanese temple geometry problem); The beauty of surfaces; Kodawari House, Keiichi Suzuki's ...more>>

  43. Mathematics Preprints - Mathematics Dept., Penn State University
    Preprints: general (American Mathematical Society Preprints; Hypatia; xxx E-print Archives; and the Front End for the xxx Mathematics Archive), and by subject area. ...more>>

  44. Math WWW VL: Bibliographies - Dept. of Mathematics, Florida State University
    Links to bibliographies in college-level mathematics. ...more>>

  45. Medial Quasigroups (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
    Definition, examples, and references about medial quasigroups. Links to related terms in the Catalogue. ...more>>

  46. Moufang Quasigroups (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
    Definition, examples, and references about Moufang Quasigroups. Links to related terms in the Catalogue. ...more>>

  47. A New Proof of The Four Colour Theorem - Ashay Dharwadker
    An article presenting a proof of the four color theorem that uses group theory and Steiner systems, illustrated using a map of Madhya Pradesh and adjoining states in India. Introduction; Map Colouring; Steiner Systems; Eilenberg Modules; Hall Matchings; ...more>>

  48. New York Group Theory Cooperative at CCNY
    Genetic algorithms, open problems and preprints in combinatorial and geometric group theory, meetings, links, and MAGNUS, a free (GPL) graphically oriented system, based on Tcl/Tk, for computational group theory designed to allow for exploration and experimentation ...more>>

  49. On the Puzzles with polyhedra and numbers - Jorge Rezende
    Several articles in PDF format, with related links: one on a set of didactic puzzles published by the Portuguese Mathematical Society (SPM); "Jogos com poliedros e permutações", an article in Portuguese describing puzzles with polyhedra ...more>>

  50. Pattern - Drew, Wallace; Mathematics Across the Curriculum, Dartmouth College
    An interdisciplinary course in textile design and elementary group theory. Syllabus, course pages (notes, figures, questions, group work and homework), final project and class artworks from a 1996 math and art cross-curricular class at Dartmouth College. ...more>>


 
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