Finite solvable groups whose Quillen complex is Cohen-Macaulay

Details Finite solvable groups whose Quillen complex is Cohen-Macaulay Finite solvable groups whose Quillen complex is Cohen-Macaulay

2006-06-09

arxiv.org/abs/math/0606234v2

Journal of Algebra 322 (2009) 969-982

Mathematics

Group Theory

20 pages, final version

Scientific paper

We prove that the p-Quillen complex of a finite solvable group with cyclic
derived group is Cohen-Macaulay, if p is an odd prime. If p = 2 we prove a
similar conclusion, but there is a discussion to be made.

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