\(n\)-dimensional linear representations of \(\Aut F_ n\), and more

DOI10.1006/jabr.1997.7134zbMath0891.20024OpenAlexW1978066348MaRDI QIDQ1376334

Andrei S. Rapinchuk

Publication date: 16 March 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7134

zbMATH Keywords

automorphism groupsfree groupsfinite representation typecomplex representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)

Related Items (1)

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

Cites Work

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• A group theoretic characterization of linear groups
• Groups of integral representation type
• The automorphism group of a free group is not linear
• Low-dimensional representations of \(\text{Aut}(F_ 2)\)
• Connection of the dual space of a group with the structure of its closed subgroups
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Bounded Elementary Generation of SL n (O)
• Bounded generation does not imply finite presentation
• A group theoretic criterion for property FA

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