Connectivity of the coset poset and the subgroup poset of a group

DOI10.1515/jgth.2005.8.6.719zbMath1096.20024arXivmath/0210001OpenAlexW2964108769MaRDI QIDQ5718044

Daniel A. Ramras

Publication date: 13 January 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210001

zbMATH Keywords

simplicial complexescoset posetssubgroup posets

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (6)

Subgroup graph methods for presentations of finitely generated groups and the contractibility of associated simplicial complexes ⋮ Order complexes of coset posets of finite groups are not contractible. ⋮ Shelling the coset poset. ⋮ Between buildings and free factor complexes: A Cohen–Macaulay complex for Out(RAAGs) ⋮ Homotopy types of group lattices ⋮ Coset posets of infinite groups

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