On commuting and noncommuting complexes

zbMath0993.20016arXivmath/0005301MaRDI QIDQ5929457

Jonathan Pakianathan, Ergün Yalçın

Publication date: 25 June 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005301

zbMATH Keywords

finite groupscentralizersclique complexescommuting elementsinflated simplicial complexesorder complexes

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Homological methods in group theory (20J05) Simplicial sets and complexes in algebraic topology (55U10)

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Cites Work

• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Primitive ovoids in \(O_8^+ (q)\)
• On the shellability of the order complex of the subgroup lattice of a finite group
• The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group
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