2F-modules, Abelian sets of roots and 2-ranks.

DOI10.1016/j.jalgebra.2006.10.012zbMath1115.20003OpenAlexW2015006675MaRDI QIDQ865474

N. E. Zubov

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.10.012

zbMATH Keywords

sporadic groupsroot systemsquadratic modules2-ranksAbelian sets of rootsfailure of factorization modules

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (8)

2F-modules, Abelian sets of roots and 2-ranks. ⋮ The 2F-modules for nearly simple groups. ⋮ A generalisation of a theorem of Wielandt ⋮ Corrigendum to ``2F-modules, Abelian sets of roots and 2-ranks. ⋮ Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩 ⋮ Maximal abelian sets of roots ⋮ Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs ⋮ 𝐹-stability in finite groups

Cites Work

• 2F-modules, Abelian sets of roots and 2-ranks.
• The 2F-modules for nearly simple groups.
• Classification of \(2F\)-modules. I
• A new combinatorial approach to M₂₄
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