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Topic: Permutation Groups
Replies: 13   Last Post: Feb 2, 2004 2:54 AM

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 Jack Patel Posts: 5 Registered: 12/6/04
Permutation Groups
Posted: Oct 10, 1999 4:45 PM

I understand the theory of Permutaion Groups very well and understand
the concept of an alternating subgroup of degree n.

However, I am stumped on these types of questions:

1) How many elements of order 5 are in S7? (S=Symmetric Group)
2) How many odd permutations of order 4 does S6 have?
3) How many elements of order 5 are there in A6? (A=Alternating)
4) What is the maximum order of any element in A10? (I think 21 ?)

I especially would like to know how to do number 1 because it is a
very basic problem. I know that A5 has 24 elements of order 5, 20
elements of order 3, and 15 elements of order 2, but don't have the
slightest idea why?

Any help would be greatly appreciated.
Sincerely,
Jack

Date Subject Author
10/10/99 Jack Patel
10/11/99 Fred Galvin
10/11/99 Max Alekseyev
10/11/99 Jeremy Boden
10/12/99 D. Ross
10/12/99 Mike Oliver
10/13/99 Lynn Killingbeck
10/11/99 Douglas Zare
10/12/99 Richard Carr
10/12/99 Michael Jorgensen
10/12/99 Achava Nakhash, the Loving Snake
2/2/04 Edwin Clark
2/2/04 RandySW1983