Polynomial growth and subgroups of \(\mathrm{Out}(F_N)\)

DOI10.5802/ahl.173zbMath1523.20039arXiv2204.02700MaRDI QIDQ6047214

Yassine Guerch

Publication date: 9 October 2023

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02700

zbMATH Keywords

growthfree groupouter automorphism groupgroup action on treesspace of currents

Mathematics Subject Classification ID

Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Groups acting on trees (20E08)

Cites Work

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• JSJ decompositions of groups
• A "Tits-Alternative" for Subgroups of Surface Mapping Class Groups
• Relative currents
• The rank of actions on ${R}$-trees
• Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇})
• Atoroidal dynamics of subgroups of Out(FN)
• North-South type dynamics of relative atoroidal automorphisms of free groups on a relative space of currents

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