Finite solvable groups whose Quillen complex is Cohen-Macaulay
classification
🧮 math.GR
keywords
cohen-macaulaycomplexfinitegroupprovesolvableconclusioncyclic
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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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