On generations by conjugate elements in almost simple groups with socle \(^2 F_4(q^2)'\)

DOI10.1515/jgth-2022-0216zbMath1530.20055arXiv2212.13785OpenAlexW4385341330MaRDI QIDQ6146261

Andrei V. Zavarnitsine, Danila Olegovitch Revin

Publication date: 10 January 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.13785

zbMATH Keywords

automorphismgeneratorsfinite simple group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Criteria for solvable radical membership via \(p\)-elements.
• On Baer-Suzuki \(\pi\)-theorems.
• On a relation between the Sylow and Baer-Suzuki theorems.
• Lifting in Frattini covers and a characterization of finite solvable groups.
• A description of Baer-Suzuki type of the solvable radical of a finite group.
• From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical.
• Baer-Suzuki theorem for the solvable radical of a finite group.
• Generation of exceptional groups of Lie-type
• Interrelations of symplectic and orthogonal groups in characteristic two
• Generation of classical groups
• Generation of finite almost simple groups by conjugates.
• Further solvable analogues of the Baer-Suzuki theorem and generation of nonsolvable groups.
• CHEVIE -- A system for computing and processing generic character tables
• Baer-Suzuki theorem for the \(\pi \)-radical
• On the sharp Baer-Suzuki theorem for the \(\pi \)-radical: sporadic groups
• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• Generating triples of involutions of Chevalley groups over a finite field of characteristic 2
• Variations on the Baer-Suzuki theorem.
• CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• A solvable version of the Baer–Suzuki theorem
• A family of simple groups associated with the simple lie algebra of type (𝐹₄)
• Characterizations of the solvable radical
• Involutions in Chevalley groups over fields of even order
• (2,3)-Generation of Exceptional Groups
• On Generators and Representations of the Sporadic Simple Groups
• On the sharp Baer-Suzuki theorem for the $\pi$-radical of a finite group

This page was built for publication: On generations by conjugate elements in almost simple groups with socle \(^2 F_4(q^2)'\)