Quiver representations of extended subgroup posets of finite groups

DOI10.14492/HOKMJ/2020-401OpenAlexW4312581296MaRDI QIDQ2105255

Masato Sawabe, Nobuo Iiyori

Publication date: 8 December 2022

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/2020-401

zbMATH Keywords

inductionrestrictionquiver representationsubgroup poset

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of quivers and partially ordered sets (16G20)

Cites Work

• Partially ordered sets of non-trivial nilpotent \(\pi\)-subgroups
• Representations of path algebras with applications to subgroup lattices and group characters.
• Character theory of finite groups
• Homology of a certain associative algebra
• Quiver representations, group characters, and prime graphs of finite groups
• Homology of the complex of all non-trivial nilpotent subgroups of a finite non-solvable group
• Simplical complexes associated to quivers arising from finite groups
• Partially ordered sets of non-trivial nilpotent \(\pi\)-subgroups. II.
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