On transitivity and (non)amenability of \(\Aut F_n\) actions on group presentations.

DOI10.4171/GGD/250zbMath1348.20038arXiv1309.0271MaRDI QIDQ473147

Aglaia Myropolska, Tatiana Nagnibeda

Publication date: 21 November 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0271

zbMATH Keywords

automorphism groups of free groupsfinitely generated groupsgenerating setstransitive actionsamenable graphselementary Nielsen transformationsNielsen graphs

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Infinite graphs (05C63)

Related Items (2)

Nielsen equivalence in Fuchsian groups ⋮ Non-elementary amenable subgroups of automata groups

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