On the Automorphisms of Some One-Relator Groups

DOI10.1080/00927870600875906zbMath1114.20019arXivmath/0408253OpenAlexW2088641315MaRDI QIDQ3422832

Daniel Tieudjo, D. I. Moldavanskii

Publication date: 14 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0408253

zbMATH Keywords

presentationsfree products with amalgamationone-relator groupsnormal automorphismsautomorphism groups of groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

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A generalization of residual finiteness., On the group of continuous automorphisms of some profinite groups, On the cyclic subgroup separability of the free product of two groups with commuting subgroups, Conjugacy separability of some one-relator groups., Local-global invariants of finite and infinite groups: around Burnside from another side., Class-preserving automorphisms of certain HNN extensions.

Cites Work

• Automorphisms and Hopficity of certain Baumslag-Solitar groups
• The Automorphism Towers of Some One-Relator Groups
• On a Class of One-Relator Groups
• Free subgroups of certain one-relator groups defined by positive words
• Normal automorphisms of free groups
• Normal automorphisms of free groups