SYLOW CLASSES OF REFLECTION SUBGROUPS AND PSEUDO-LEVI SUBGROUPS

DOI10.1017/S0004972722000867OpenAlexW4293597024MaRDI QIDQ5053476

Kane Douglas Townsend

Publication date: 6 December 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000867

zbMATH Keywords

Sylow subgroupsfinite groups of Lie typeLevi subgroupsreflection groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

• Generic Sylow theorems for the reductive groups over finite fields
• Cuspidal unipotent Brauer characters
• Normalisers of parabolic subgroups in finite unitary reflection groups
• Regular elements of finite reflection groups
• Reflection subgroups of finite complex reflection groups.
• Modular generalized Springer correspondence. III: Exceptional groups
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Normalizers of Parabolic Subgroups of Reflection Groups
• The Sylow Subgroups of a Finite Reductive Group
• CLASSIFICATION OF REFLECTION SUBGROUPS MINIMALLY CONTAINING -SYLOW SUBGROUPS
• Classification of Sylow classes of parabolic and reflection subgroups in unitary reflection groups
• The Character Theory of Finite Groups of Lie Type
• Finite Unitary Reflection Groups

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