\(p\)-groups with a unique proper non-trivial characteristic subgroup.

DOI10.1016/j.jalgebra.2011.10.005zbMath1252.20014arXiv1007.4084OpenAlexW1987225735MaRDI QIDQ411753

Csaba Schneider, Stephen P. Glasby, Péter P. Pálfy

Publication date: 30 April 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4084

zbMATH Keywords

finite \(p\)-groupsautomorphism groupscharacteristic subgroupsUCS-groups

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05) Modular representations and characters (20C20) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Irreducible modules for symmetric groups that are summands of their exterior square ⋮ Some finite groups with a unique proper non-trivial characteristic subgroup ⋮ On p-groups with automorphism groups related to the exceptional Chevalley groups ⋮ Duality between p-groups with three characteristic subgroups and semisimple anti-commutative algebras ⋮ A module-theoretic approach to abelian automorphism groups. ⋮ Characterization by intersection graph of some families of finite nonsimple groups

Uses Software

• GAP
• Magma
• ATLAS Group Representations

Cites Work

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• Writing representations over minimal fields
• Covering Groups of Rank 1 of Elementary Abelian Groups
• Endliche Gruppen I
• Finite Metabelian Groups and Plucker Line-Coordinates

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