A characterization of orthogonal groups over GF(2)
From MaRDI portal
Publication:1135926
DOI10.1016/0021-8693(80)90204-5zbMath0426.20013OpenAlexW2125364750MaRDI QIDQ1135926
Publication date: 1980
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(80)90204-5
Linear algebraic groups over finite fields (20G40) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items
Classifying the finite simple groups, Standard 3-components of type SL(4,2), A characterization of finite Chevalley and twisted groups of type E over GF(2), A characterization of some Chevalley groups in characteristic two, A characterization of symplectic groups over GF(2), Finite groups with a standard 3-component isomorphic to \(\Omega^\pm(2m,2)\), \(m\geq 5\), \(F_ 4(2)\) or \(E_ n(2)\), \(n=6,7,8\), Finite groups, Large extraspecial subgroups of widths 4 and 6
Cites Work
- On finite groups with large extra-special 2-subgroups
- On finite groups whose centralizer of an involution has normal extraspecial and Abelian subgroups. II
- Groups generated by root-involutions. I
- On finite groups in which the generalized Fitting group of the centralizer of some involution is extraspecial
- On finite simple groups with large extraspecial subgroups. I
- Finite simple groups in which the generalized Fitting group of the centralizer of some involution is extraspecial
- Large extraspecial subgroups of widths 4 and 6
- On finite simple groups with large extraspecial subgroups. II
- Central elements in core-free groups
- Transfer and fusion in finite groups
- On groups with abelian Sylow 2-subgroups
- A characterization of the Chevalley- and Steinberg-groups over F\(_2\)
- Finite groups whose 2-subgroups are generated by at most 4 elements
- Involutions in Chevalley groups over fields of even order
- Transitive Permutation Groups in Which an Involution Central in a Sylow 2-Subgroup Fixes a Unique Point
- On groups with an involution z such that the generalized pitting subgroup e op c(Z) is extra-special and C(z)/E ⊇ (out(E))
- On transitive permutation groups in which a 2-central involution fixes a unique point
- Characterizations of linear groups
- Schur multipliers of the known finite simple groups
