Simply connected coset complexes for rank 1 groups of Lie type

DOI10.1007/BF02571942zbMath0829.20032WikidataQ115391979 ScholiaQ115391979MaRDI QIDQ1340957

Yoav Segev

Publication date: 21 December 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174688

zbMATH Keywords

sporadic groupsfinite groupssimple componentselementary Abelian \(p\)-subgroupsQuillen complexBrown complexconnectivity of commuting complexLie type groups of rank 1

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Series and lattices of subgroups (20D30) Homotopy equivalences in algebraic topology (55P10) Homological methods in group theory (20J05) Simple groups: alternating groups and groups of Lie type (20D06) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (2)

The homotopy types of the posets of \(p\)-subgroups of a finite group ⋮ The fundamental group of the p‐subgroup complex

Cites Work

• Simple connectivity of \(p\)-group complexes
• Flag structures on Tits geometries
• Homotopy type of posets and lattice complementation
• Extending morphisms of groups and graphs
• Locally connected simplicial maps
• Endliche Gruppen I
• On a class of doubly transitive groups

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