Simple connectivity of the Quillen complex of \(\text{GL}_ n(q)\)

DOI10.1006/jabr.1995.1347zbMath0857.20030OpenAlexW2065543318MaRDI QIDQ1904078

Kaustuv Mukul Das

Publication date: 1 February 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1347

zbMATH Keywords

finite groupsorder complexgroups of Lie typesimple connectivityQuillen complexposet of elementary Abelian \(p\)-subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Series and lattices of subgroups (20D30) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (4)

Endotrivial modules for finite groups via homotopy theory ⋮ The Quillen complex of groups of symplectic type: the characteristic 2 case. ⋮ Some results about Quillen complex of \(\text{Sp}_{2n}(q)\) ⋮ The fundamental group of the p‐subgroup complex

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