BN-pairs and finite groups with parabolic-type subgroups

DOI10.1016/0021-8693(82)90052-7zbMath0491.20020OpenAlexW1990702185MaRDI QIDQ1167275

Richard Niles

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90052-7

zbMATH Keywords

Coxeter groupgroups of Lie typeparabolic subgroupTits systempairwise BN-pairspartial BN-pairs

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05)

Related Items

Locally finite classical Tits chamber systems of large order, Some locally finite buildings derived from kantor's 2-adic groups, Minimal parabolic systems and small representations, An identification theorem for groups of finite Morley rank and even type., A generic identification theorem for \(L^*\)-groups of finite Morley rank., Finite groups, Triangle groups, Classical locally finite Tits chamber systems of rank 3, Tits geometries and parabolic systems in finitely generated groups. I, Triangle geometries, Tits geometries and parabolic systems of rank 3

Cites Work

• Unnamed Item
• Buildings of spherical type and finite BN-pairs
• Abstract Reflections and Coxeter Groups
• Modular Representations of Split BN Pairs