The structure of 3-pyramidal groups

DOI10.1016/j.jalgebra.2023.08.013zbMath1525.20004arXiv2302.12285OpenAlexW4386216092MaRDI QIDQ6054763

Martino Garonzi, Xiaofang Gao

Publication date: 25 October 2023

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

Full work available at URL: https://arxiv.org/abs/2302.12285

zbMATH Keywords

finite groupsolvable groupprimitive groupKirkman triple system

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Primitive groups (20B15)

Cites Work

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• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Suzuki 2-groups
• The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class
• The Sylow 2-subgroups of finite, soluble groups with a single class of involutions
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• The finite primitive groups with soluble stabilizers, and the edge-primitive s -arc transitive graphs
• Groups
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• 3-pyramidal Steiner triple systems
• Classes of Finite Groups