From:

Subject:

On 05/22/95 at 11:13:00 Martin Schoenert said:

GAP's 'NumberConjugacyClasses' follows the general usage in group theory.

The conjugacy class of an element <g> of <G> is the set of elements <h>

that are G-conjugated to <g> (i.e., there exists an element <x> in <G>,

such that <x>^-1 * <g> * <x> = <h>).

Just to give an example that I am familiar with, suppose the group

in question were M itself. Then, NumberConjugacyClasses should yield

10, because the 48 elements in M yield 10 conjugacy classes under

M-conjugation. If anybody who has GAP also has defined M, you

might give it a try.

= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Robert G. Bryan (Jerry Bryan) (304) 293-5192 Associate Director, WVNET (304) 293-5540 fax 837 Chestnut Ridge Road BRYAN@WVNVM Morgantown, WV 26505 BRYAN@WVNVM.WVNET.EDU