Finite solvable groups whose Quillen complex is CohenMacaulay
Abstract
We prove that the pQuillen complex of a finite solvable group with cyclic derived group is CohenMacaulay, if p is an odd prime. If p = 2 we prove a similar conclusion, but there is a discussion to be made.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2006
 arXiv:
 arXiv:math/0606234
 Bibcode:
 2006math......6234M
 Keywords:

 Mathematics  Group Theory;
 20D30;
 06A11;
 20D10;
 57M07
 EPrint:
 20 pages, final version