On Mar 24, 11:44 am, David C. Ullrich <ullr...@math.okstate.edu> wrote: > On Sun, 24 Mar 2013 10:25:18 -0600, David C. Ullrich > <ullr...@math.okstate.edu> wrote: > >On Sun, 24 Mar 2013 08:15:15 -0700 (PDT), Paul <pepste...@gmail.com> > >wrote: > > >>Does anyone know the name for the following property of a group G: G has no non-trivial automorphisms. ?
I guess it would be called a rigid group. I haven't seen the phrase "rigid group" as such, but in other contexts structures with no nontrivial automorphisms have been called rigid structures.
> >These groups are referred to as "groups of order 1 or 2".
There is a classical paper on groups of order 1; groups of order 2 have not received so much attention, as far as I know.