\(\Aut(F_n)\) actions on representation spaces

DOI10.1016/J.JALGEBRA.2024.04.005MaRDI QIDQ6568816

Tsachik Gelander

Publication date: 8 July 2024

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

zbMATH Keywords

primitive elementslinear groups\(\Aut(F_n)\)Wiegold conjecture

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Ergodic theory on groups (22D40) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Cites Work

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• The dynamics of \(\Aut(F_n)\) on redundant representations
• A zero-one law for random subgroups of some totally disconnected groups
• On deformations of \(F_n\) in compact Lie groups
• Maximal subgroups of infinite index in finitely generated linear groups
• The automorphism group of a free group is not linear
• Mémoire sur les équations différentielles linéaires à intégrale algébrique.
• New combinatorial properties of linear groups
• On dense free subgroups of Lie groups
• On dynamics of \(\mathrm{Out}(F_n)\) on \(\mathrm{PSL}_2(\mathbb C)\) characters
• An ergodic action of the outer automorphism group of a free group
• A topological Tits alternative.
• Dynamics of Aut(Fn) Actions on Group Presentations and Representations
• Finite Quotients of the Automorphism Group of a Free Group
• T-systems of certain finite simple groups

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