On the pronormality of subgroups of odd index in finite simple groups.
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Publication:259844
DOI10.1134/S0037446615060142zbMath1346.20014arXiv1807.00384MaRDI QIDQ259844
Anatoli Kondrat'ev, Natal'ya Vladimirovna Maslova, Danila Olegovitch Revin
Publication date: 18 March 2016
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.00384
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items (10)
On the pronormality of subgroups of odd index in some direct products of finite groups ⋮ On the pronormality of subgroups of odd index in some extensions of finite groups ⋮ A pronormality criterion for supplements to abelian normal subgroups ⋮ On the pronormality of subgroups of odd index in finite simple symplectic groups ⋮ Submaximal soluble subgroups of odd index in alternating groups ⋮ Locally finite simple groups whose non-Abelian subgroups are pronormal ⋮ Finite simple exceptional groups of Lie type in which all subgroups of odd index are pronormal ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups ⋮ Maximal and submaximal \(\mathfrak{X}\)-subgroups ⋮ On the pronormality of second maximal subgroups in finite groups with socle \(L_2(q)\)
Cites Work
- On the pronormality of Hall subgroups.
- Classification of maximal subgroups of odd index in finite simple classical groups.
- Structure of Ree groups
- Pronormality of Hall subgroups in finite simple groups.
- Normalizers of the Sylow 2-subgroups in finite simple groups.
- Central elements in core-free groups
- Endliche Gruppen I
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