Low-dimensional linear representations of 𝐴𝑢𝑡𝐹_{𝑛},𝑛≥3

DOI10.1090/S0002-9947-99-02293-XzbMath0942.20002MaRDI QIDQ4699643

Andrei S. Rapinchuk, Alexander Potapchik

Publication date: 17 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

automorphism groupsfree groupsgroups of inner automorphismslow-dimensional linear representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (6)

The Irreducible Six-Dimensional Complex Representations of Aut(F₂) That Are Nontrivial-on F₂ ⋮ Low-dimensional representations of matrix groups and group actions on \(\mathrm{CAT}(0)\) spaces and manifolds. ⋮ Abelian covers of graphs and maps between outer automorphism groups of free groups. ⋮ Actions of \(\mathrm{SAut}(F_n)\) ⋮ Outer actions of \(\mathrm{Out}(F_n)\) on small right-angled Artin groups ⋮ REPRESENTATIONS AND RIGIDITY OF Aut(F₃)

Cites Work

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• Characterizing a free group in its automorphism group
• Automorphisms of groups and of schemes of finite type
• \(n\)-dimensional linear representations of \(\Aut F_ n\), and more
• Low-dimensional representations of \(\text{Aut}(F_ 2)\)
• The Automorphism Group of a Free Group is Complete
• On the finite dimensional unitary representations of Kazhdan groups

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