On class preserving automorphisms of groups.

DOI10.1007/s11587-013-0173-5zbMath1311.20039OpenAlexW1964485286MaRDI QIDQ480415

Pradeep K. Rai

Publication date: 8 December 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-013-0173-5

zbMATH Keywords

automorphism groupsnilpotent groupssolvable groupssupersolvable groupsclass preserving automorphisms

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Automorphism groups of groups (20F28) Derived series, central series, and generalizations for groups (20F14)

Related Items

On pointwise inner derivations of Lie algebras, Class preserving automorphisms of groups, On \(\mathrm\text{ Ш}\)-rigidity of groups of order \(p^6\)., On nilpotency of the group of outer class-preserving automorphisms of a group, On normal automorphisms of groups

Cites Work

• On finite \(p\)-groups with cyclic commutator subgroup
• The theory of finite groups. An introduction.
• Automorphisms fixing every normal subgroup of a nilpotent-by-Abelian group.
• Automorphisms of finite groups
• Unnamed Item