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Virtually nilpotent groups with finitely many orbits under automorphisms

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Publication:2661726
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DOI10.1007/s00013-020-01566-wOpenAlexW3127809833MaRDI QIDQ2661726

Raimundo A. Bastos, Emerson de Melo, Alex Carrazedo Dantas

Publication date: 8 April 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10800

zbMATH Keywords

soluble groupsextensionsautomorphisms


Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Extensions, wreath products, and other compositions of groups (20E22)




Cites Work

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  • Nilpotent groups and their automorphisms
  • Finite groups with only small automorphism orbits
  • Small cancellations over relatively hyperbolic groups and embedding theorems.
  • On finite groups all of whose elements of the same order are conjugate in their automorphism groups
  • Finding representatives for the orbits under the automorphism group of a bounded Abelian group
  • Groups that are almost homogeneous
  • FC-groups with finitely many automorphism orbits
  • Soluble groups with few orbits under automorphisms
  • Finite groups with six or seven automorphism orbits
  • Automorphism groups of transcendental field extensions
  • Classifying Finite Simple Groups with Respect to the Number of Orbits Under the Action of the Automorphism Group
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