Some results about Quillen complex of \(\text{Sp}_{2n}(q)\)

DOI10.1006/JABR.1998.7545zbMath0936.20017OpenAlexW1972417522MaRDI QIDQ1277009

Kaustuv Mukul Das

Publication date: 14 May 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7545

zbMATH Keywords

finite groupssymplectic spacesorder complexesstrongly \(p\)-embedded subgroupselementary Abelian \(p\)-subgroupsQuillen complexes

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Series and lattices of subgroups (20D30)

Related Items (4)

Endotrivial modules for finite groups via homotopy theory ⋮ On the frame complex of symplectic spaces ⋮ Hypergraph matching complexes and Quillen complexes of symmetric groups. ⋮ The fundamental group of the p‐subgroup complex

Cites Work

• Simple connectivity of \(p\)-group complexes
• Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Simple connectivity of the Quillen complex of \(\text{GL}_ n(q)\)
• The local structure of finite groups of characteristic 2 type
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