Rank one isolated \(p\)-minimal subgroups in finite groups

DOI10.1016/j.jalgebra.2020.08.017OpenAlexW3084347926MaRDI QIDQ2209269

Christopher Parker, Peter J. Rowley, Ulrich Meierfrankenfeld

Publication date: 30 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2020.08.017

zbMATH Keywords

finite groupsfinite simple groupsp-minimal subgroups

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some exceptional 2-adic buildings
• Minimal parabolic geometries for the sporadic groups
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• On the foundations of incidence geometry
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Maximal subgroups of \(G_2(2^n)\)
• Automorphisms which centralize a Sylow p-subgroup
• Buildings of spherical type and finite BN-pairs
• Nonsolvable finite groups all of whose local subgroups are solvable. VI
• The theory of finite groups. An introduction.
• The \(P!\)-theorem
• Solvability of groups of odd order
• The \(\widetilde P!\)-theorem.
• Element orders and Sylow structure of finite groups.
• The Sylow 2-subgroups of the finite classical groups
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• The maximal subgroups of F₄(2) and its automorphism group
• Diagram Geometry
• Corrections to ‘The Maximal Subgroups of the Thompson Group’
• Isolated subgroups in finite groups
• The Finite Simple Groups
• Tits geometries over gf(2) Defined by groups over gf(3)
• The local structure of finite groups of characteristic 2 type
• The Primitive Permutation Groups of Odd Degree
• The Maximal Subgroups of the Fischer Group Fi ₂₃
• The Maximal Subgroups of the Thompson Group
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• The Geometry and Maximal Subgroups of the Simple Groups of A. Rudvalis and J. Tits
• The maximal subgroups of positive dimension in exceptional algebraic groups
• LOCAL CHARACTERISTIC $p$ COMPLETIONS OF WEAK $BN$-PAIRS
• Endliche Gruppen I
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p
• Normal \(p\)-complements for finite groups
• Normal \(p\)-complements for finite groups
• Completions of Goldschmidt amalgams of type \(G_4\) in dimension 3