Maximal solvable subgroups of odd index in symmetric groups. (English. Russian original) Zbl 1484.20033
Algebra Logic 59, No. 2, 114-128 (2020); translation from Algebra Logika 59, No. 2, 169-189 (2020).
Summary: Maximal solvable subgroup subgroup of odd index. Maximal solvable subgroups of odd index in symmetric groups are classified up to conjugation.
MSC:
| 20D25 | Special subgroups (Frattini, Fitting, etc.) |
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
| 20E28 | Maximal subgroups |
| 20B05 | General theory for finite permutation groups |
References:
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