Complements of the socle in monolithic groups.
DOI10.4171/GGD/25zbMath1162.20012OpenAlexW2039155768MaRDI QIDQ2469772
Andrea Lucchini, Federico Menegazzo, Marta Morigi
Publication date: 7 February 2008
Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/ggd/25
numbers of conjugacy classesfinite groupsmonolithic groupssocleminimal normal subgroupsconjugacy classes of complements
Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Cohomology of groups (20J06) Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)
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Cites Work
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- On the probability of generating finite groups with a unique minimal normal subgroup.
- Some applications of the first cohomology group
- On the maximal subgroups of the finite classical groups
- Some questions on the number of generators of a finite group
- On normal subgroups which are direct products
- Crowns and factorization of the probabilistic zeta function of a finite group.
- Finite permutation groups with large Abelian quotients
- Chains of subgroups in symmetric groups
- The equivalence of bilinear forms
- Complements of the socle in almost simple groups.
- Zu einem von B. H. und H. Neumann gestellten Problem
- Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
- The number of subgroups with trivial unipotent radicals in finite groups of Lie type
- Maximal subgroups of finite groups
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