On Finite Groups with Few Automorphism Orbits

DOI10.1080/00927872.2015.1065856zbMath1362.20007arXiv1507.04373OpenAlexW3102234240MaRDI QIDQ5740566

Alex Carrazedo Dantas, Raimundo A. Bastos

Publication date: 27 July 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04373

zbMATH Keywords

finite groupsautomorphism groupsnumber of orbits

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05)

Related Items (4)

Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster ⋮ Automorphism group orbits on finite simple groups ⋮ FC-groups with finitely many automorphism orbits ⋮ Finite groups with only small automorphism orbits

Uses Software

• GAP

Cites Work

• On finite groups all of whose elements of the same order are conjugate in their automorphism groups
• Classifying Finite Simple Groups with Respect to the Number of Orbits Under the Action of the Automorphism Group
• The finite groups with thirteen and fourteen conjugacy classes
• Unnamed Item

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