From cube-lovers-errors@mc.lcs.mit.edu Mon Sep 1 22:33:57 1997 Return-Path: Received: from sun30.aic.nrl.navy.mil by mc.lcs.mit.edu (8.8.1/mc) with SMTP id WAA05860; Mon, 1 Sep 1997 22:33:57 -0400 (EDT) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Mail-from: From SCHMIDTG@iccgcc.cle.ab.com Mon Sep 1 16:35:03 1997 From: SCHMIDTG@iccgcc.cle.ab.com Date: Mon, 1 Sep 1997 16:32:10 -0400 (EDT) To: cube-lovers@ai.mit.edu Message-Id: <970901163210.20217b13@iccgcc.cle.ab.com> Subject: Re: Open and Closed Subgroups of G I'd like to thank Jerry for taking the time to put together his message discussing basic group theory as it applies to the cube as well as the basics of Thistlewaite's algorithm. Although I consider myself somewhat beyond the "layman" level in this area, I'm not always able to follow the various posts to this group. Besides, it's also helpful to read a little "refresher" every now and then to help reinforce and clarify previously digested concepts. It might also be helpful for someone to cover the basics of cube parity. Although I think I understand the basic group theoretic concepts of permutation parity, the asymmetry of the marked faces of the cube have never quite left me feeling comfortable about how this concept is applied to the cube. Hofstadter, covers this, but does not discuss it in enough detail for one to fully grasp the concept. Regards, -- Greg Schmidt