On nilpotency of the group of outer class-preserving automorphisms of a group

DOI10.1142/S0219498816500262zbMath1336.20040OpenAlexW2114439594MaRDI QIDQ2788565

Pradeep K. Rai

Publication date: 19 February 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498816500262

zbMATH Keywords

nilpotent groupsclass-preserving automorphismslower central seriesupper central seriesgroups of maximal class

Mathematics Subject Classification ID

Nilpotent groups (20F18) Automorphism groups of groups (20F28) Derived series, central series, and generalizations for groups (20F14)

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Cites Work

• On groups with a class-preserving outer automorphism.
• On class preserving automorphisms of groups.
• On finite \(p\)-groups with cyclic commutator subgroup
• On outer automorphism groups
• Nilpotente Gruppen, deren sämtliche Normalteiler charakteristisch sind
• The theory of finite groups. An introduction.
• On automorphisms of some finite \(p\)-groups.
• 𝑛-inner automorphisms of finite groups
• Finite Groups with Class-Preserving outer Automorphisms
• Automorphisms of finite groups
• ``Hasse principle for groups of order \(p^4\)