Amalgams, blocks, weights, fusion systems and finite simple groups.

DOI10.1016/j.jalgebra.2007.05.010zbMath1184.20024OpenAlexW1972034477MaRDI QIDQ2456208

Geoffrey R. Robinson

Publication date: 17 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.05.010

zbMATH Keywords

finite \(p\)-groupshomomorphic images\(p\)-blocksfusion systemsconjugation actionsgeneralised Fitting subgroupfree normal subgroups of finite indexiterated amalgams of finite groupsmaximal finite \(p\)-subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Automorphisms of \(p\)-local compact groups, Fusion systems over a Sylow \(p\)-subgroup of \(\mathrm{G}_2(p)\), Higher limits over the fusion orbit category, Trees of fusion systems, Saturated fusion systems with parabolic families., Group models for fusion systems, Minimal fusion systems with a unique maximal parabolic., On the focal defect group of a block, characters of height zero, and lower defect group multiplicities., A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver., Realizing a fusion system by a single finite group., Two families of exotic fusion systems., Cohomology of infinite groups realizing fusion systems, Webb's conjecture for fusion systems., Reduction (mod $q$) of fusion system amalgams, A family of fusion systems related to the groups \(\mathrm{Sp}_4(p^a)\) and \(\mathrm G_2(p^a)\).

Cites Work

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