From mreid@ptc.com  Wed Mar  8 10:33:00 1995
Return-Path: <mreid@ptc.com>
Received: from ptc.com (poster.ptc.com) by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA01704; Wed, 8 Mar 95 10:33:00 EST
Received: from ducie by ptc.com (5.0/SMI-SVR4-NN)
	id AA16380; Wed, 8 Mar 95 10:31:19 EST
Received: by ducie (1.38.193.4/sendmail.28-May-87)
	id AA27471; Wed, 8 Mar 1995 10:47:10 -0500
Date: Wed, 8 Mar 1995 10:47:10 -0500
From: mreid@ptc.com (michael reid)
Message-Id: <9503081547.AA27471@ducie>
To: cube-lovers@ai.mit.edu
Subject: New GAP insights
Content-Length: 559

i wrote

> > B) What is the least commutative element (the anticentre?) of
> >   the cube group?
> 
> i'll guess
> 
> corners:  (1)(7)     edges:    (1)(11)
> corners:  (1+)(7-)   edges:    (1)(11)
> corners:  (1-)(7+)   edges:    (1)(11)
> corners:  (1)(7)     edges:    (1+)(11+)
> corners:  (1+)(7-)   edges:    (1+)(11+)
> corners:  (1-)(7+)   edges:    (1+)(11+)

after thinking about it, i realized that

corners:  (8)   edges:  (12)

commutes with even fewer elements.  again, elements with
this cycle structure split into two conjugacy classes.

mike