Simplical complexes associated to quivers arising from finite groups

zbMath1366.20013MaRDI QIDQ2341653

Nobuo Iiyori, Masato Sawabe

Publication date: 27 April 2015

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1427202877

zbMATH Keywords

simplicial complexquiverleft cosetspath complex

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Series and lattices of subgroups (20D30) Chains and lattices of subgroups, subnormal subgroups (20E15) Representations of quivers and partially ordered sets (16G20) Simplicial sets and complexes in algebraic topology (55U10)

Related Items

Partially ordered sets of non-trivial nilpotent \(\pi\)-subgroups. II. ⋮ Quiver representations, group characters, and prime graphs of finite groups ⋮ Blowdown maps between subgroup posets ⋮ Quiver representations of extended subgroup posets of finite groups

Cites Work

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• Representations of path algebras with applications to subgroup lattices and group characters.
• Homotopy type and Euler characteristic of partially ordered sets
• Homotopy properties of the poset of nontrivial p-subgroups of a group