Free-by-finite cyclic automorphism groups

DOI10.1216/rmjm/1181072625zbMath0782.20033OpenAlexW2072872776MaRDI QIDQ1801939

Martin R. Pettet

Publication date: 10 March 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072625

zbMATH Keywords

fundamental groupautomorphism groupsgroups acting on treestorsion elementsfree-by-finite cyclic groupgraph of locally cyclic groups

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Representations of groups as automorphism groups of algebraic systems (20F29) Groups acting on trees (20E08)

Cites Work

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• Countable torsion FC-groups as automorphism groups
• Locally finite groups as automorphism groups
• Freely decomposable automorphism groups
• On solving the equation Aut(X)=G
• Torsion-free groups having finite automorphism groups. I
• INFINITE TORSION GROUPS AS AUTOMORPHISM GROUPS
• DIVISIBLE AUTOMORPHISM GROUPS
• ALMOST-NILPOTENT PERIODIC GROUPS AS AUTOMORPHISM GROUPS
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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