NON-RIGIDITY OF CYCLIC AUTOMORPHIC ORBITS IN FREE GROUPS

DOI10.1142/S021819671250021XzbMath1264.20037arXiv1108.1364OpenAlexW2146358528MaRDI QIDQ2888838

Brian Ray

Publication date: 4 June 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1364

zbMATH Keywords

free groupsouter spacespectrally rigid subsetstranslation length functionsactions of groups on \(\mathbb R\)-treeslength spectrum rigidity

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Groups acting on trees (20E08)

Related Items (1)

Spectral rigidity of automorphic orbits in free groups.

Cites Work

• Automorphisms of free groups have finitely generated fixed point sets
• Train tracks and automorphisms of free groups
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms

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