CLASSIFICATION OF REFLECTION SUBGROUPS MINIMALLY CONTAINING -SYLOW SUBGROUPS

DOI10.1017/S0004972717000764zbMath1427.20052OpenAlexW2763670397MaRDI QIDQ4601171

Kane Douglas Townsend

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1017/s0004972717000764

zbMATH Keywords

Weyl groupsfinite Coxeter groups\(p\)-Sylow subgroupsreflection subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (2)

SYLOW CLASSES OF REFLECTION SUBGROUPS AND PSEUDO-LEVI SUBGROUPS ⋮ Classification of Sylow classes of parabolic and reflection subgroups in unitary reflection groups

Cites Work

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• Modular generalized Springer correspondence. III: Exceptional groups
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• On Reflection Subgroups of Finite Coxeter Groups
• Reflection subgroups of finite and affine Weyl groups
• Semisimple subalgebras of semisimple Lie algebras
• Reflection groups and invariant theory

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