----- Original Message ---- From: Fred lunnon <fred.lunnon@gmail.com> To: math-fun <math-fun@mailman.xmission.com> Sent: Friday, January 11, 2008 12:54:07 PM Subject: Re: [math-fun] Moebius madness on Youtube Nicely done. And it grieves me to have to admit that, although I've been concerned with these groups for a good few years, I had no idea that the isomorphism of the Moebius group in n-space with the Euclidean group in (n+1)-space had such a straightforward demonstration! WFL On 1/11/08, Henry Baker <hbaker1@pipeline.com> wrote:
Very cool animation of Moebius transformations:
Those two groups are not isomorphic. The Euclidean group has a normal subgroup (the translations), while the Mobius group is semisimple. Gene ____________________________________________________________________________________ Be a better friend, newshound, and know-it-all with Yahoo! Mobile. Try it now. http://mobile.yahoo.com/;_ylt=Ahu06i62sR8HDtDypao8Wcj9tAcJ