An identification of \(Co_1\).

DOI10.1016/j.jalgebra.2008.05.006zbMath1161.20011OpenAlexW2464337238MaRDI QIDQ948716

M. Reza Salarian

Publication date: 17 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.05.006

zbMATH Keywords

centralizers of involutionsConway group \(Co_1\)3-local subgroupsextraspecial 2-groups2-central involutionsfinite sporadic simple groups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (4)

Fusion systems realizing certain Todd modules ⋮ An identification of the Monster group. ⋮ A 3-local characterization of \(Co_2\). ⋮ A characterization for \(U_3 (3)\)

Cites Work

• 2-fusion in finite groups
• Quadratic pairs.
• An identification of the Monster group.
• A 3-local characterization of \(U_6(2)\) and \(Fi_{22}\).
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• On quadratic GF(2)-modules for Chevalley groups over fields of odd order
• Involutions in Chevalley groups over fields of even order
• A Characterization of the finite simple group U₄(3)
• Finite Groups which Contain a Selfcentralizing Subgroup of Order 3
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