The number of automorphisms of a monolithic finite group.

DOI10.1016/J.JALGEBRA.2009.07.034zbMath1193.20026OpenAlexW2089963588MaRDI QIDQ848530

Riedl, Jeffrey M.

Publication date: 4 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.07.034

zbMATH Keywords

finite \(p\)-groupsautomorphism groupsfinite general linear groupscharacter theoryfinite monolithic groupsorders of groups of automorphisms

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (2)

Automorphisms of regular wreath product \(p\)-groups. ⋮ Commutator Calculus for Wreath Product Groups

Cites Work

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• The automorphism group of a finite \(p\)-group is almost always a \(p\)-group.
• Automorphism groups of 2-groups.
• ON THE ORDERS OF AUTOMORPHISM GROUPS OF FINITE GROUPS
• On the orders of automorphism groups of finite groups. II
• Endliche Gruppen I
• Automorphism groups of finite p-groups of coclass 2

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