Automorphisms of finite \(p\)-groups admitting a partition.
DOI10.1007/S10469-012-9189-2zbMath1264.20025OpenAlexW2094057237MaRDI QIDQ1928475
Publication date: 3 January 2013
Published in: Algebra and Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10469-012-9189-2
finite \(p\)-groupsexponentnilpotency classpartitions of groupsunions of subgroupsHughes subgroupsplitting automorphismsderived lengthFrobenius groups of automorphismsautomorphisms of prime-power order
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)
Related Items (4)
Cites Work
- Fixed points of the complements of Frobenius groups of automorphisms.
- Fixed points of Frobenius groups of automorphisms.
- Nilpotent groups and their automorphisms
- On the exponent of a finite group with an automorphism group of order twelve.
- The \(H_p\)-problem and the structure of \(H_p\)-groups
- Die Nilpotenz der \(H_ p\)-Gruppen
- Nilpotency of solvable groups admitting a splitting automorphism of prime order
- Frobenius groups as groups of automorphisms
- Frobenius groups of automorphisms and their fixed points
- Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
- Graded Lie rings with many commuting components and an application to 2-Frobenius groups
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