Abstract. 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 wedge-decomposition formula for this simplicial complex and necessary and suffcient conditions for its contractibility.
On the commuting complex of finite metanilpotent groups / F. FUMAGALLI. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - STAMPA. - 10:(2007), pp. 307-319. [10.1515/JGT.2007.025]
On the commuting complex of finite metanilpotent groups.
FUMAGALLI, FRANCESCO
2007
Abstract
Abstract. 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 wedge-decomposition formula for this simplicial complex and necessary and suffcient conditions for its contractibility.
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