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Finite solvable groups whose Quillen complex is Cohen-Macaulay

Francesco Matucci
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Abstract

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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Francesco Matucci. 2011-05-18. Finite solvable groups whose Quillen complex is Cohen-Macaulay. https://arxiv.org/abs/math/0606234

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