Classification of finite groups with birdcage-shaped Hasse diagrams

zbMath1485.20065MaRDI QIDQ824114

Shigeru Takamura

Publication date: 14 December 2021

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

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-58/issue-4/Classification-of-finite-groups-with-birdcage-shaped-Hasse-diagrams/5319ojm.full

zbMATH Keywords

finite groupHasse diagramlattice of subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) General structure theorems for groups (20E34) Group actions on combinatorial structures (05E18)

Cites Work

• Euler characteristics of groups: The \(p\)-fractional part
• Homotopy properties of the poset of nontrivial p-subgroups of a group
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