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Francesco Fumagalli

On the commuting complex of finite metanilpotent groups

We study the commuting complex associated to the set of all non-trivial elements of a finite group. In particular we treat the case of metanilpotent groups, proving a wedgedecomposition formula for this simplicial complex and necessary and sufficient conditions for its contractibility.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 10, 05/2007
Pages: 307 - 319

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