THE ESSENTIAL RANK OF FUSION SYSTEMS OF BLOCKS OF SYMMETRIC GROUPS

DOI10.1142/S0218196711006686zbMath1260.20014MaRDI QIDQ2882395

Jianbei An, Heiko Dietrich

Publication date: 4 May 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsblocksfusion systems\(p\)-local subgroupsconjugation familiesessential rank

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Subgroups of symmetric groups (20B35)

Related Items (4)

Radical 3-subgroups of \(F_4(q)\) with \(q\) even. ⋮ The essential 2-rank of general linear and unitary groups ⋮ The essential rank of classical groups. ⋮ The AWC-goodness and essential rank of sporadic simple groups.

Cites Work

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• Local methods in block theory
• On the center of a Hecke algebra.
• Frobenius categories.
• Sylow intersections and fusion

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