Maximal subgroups of odd index in finite groups with simple linear, unitary, or symplectic socle. (English. Russian original) Zbl 1260.20029
Algebra Logic 50, No. 2, 133-145 (2011); translation from Algebra Logika 50, No. 2, 189-208 (2011).
Summary: We give a classification of maximal subgroups of odd index in finite groups whose socle is isomorphic to one of the groups \(\mathrm{PSL}_n(q)\), \(\mathrm{PSU}_n(q)\), or \(\mathrm{PSp}_n(q)\) for \(n\geqslant 13\).
MSC:
| 20D25 | Special subgroups (Frattini, Fitting, etc.) |
| 20G40 | Linear algebraic groups over finite fields |
| 20D06 | Simple groups: alternating groups and groups of Lie type |
| 20E28 | Maximal subgroups |
| 20D60 | Arithmetic and combinatorial problems involving abstract finite groups |
Keywords:
finite groups; almost simple groups; socles; classical groups; maximal subgroups of odd indexReferences:
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