On the linearity of automorphism groups of free groups

DOI10.1007/BF01304807zbMath0476.20025MaRDI QIDQ1160286

Edna K. Grossman, Joan L. Dyer, Edward W. Formanek

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

braid groupautomorphism group of free group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items

THE COMPLEX INDECOMPOSABLE REPRESENTATIONS OF Aut(F₂) OF DEGREE LESS THAN SIX, The Irreducible Six-Dimensional Complex Representations of Aut(F₂) That Are Nontrivial-on F₂, Automatic structures on \(\text{Aut}(F_ 2)\), Some free groups of matrices and the Burau representation of B₄, Unnamed Item, Some subgroups of \(GL_ 3\), Low-dimensional representations of \(\text{Aut}(F_ 2)\), Free products of matrices, Surgery on \(\mathrm{Aut}(F_2)\), The automorphism group of the free group of rank 2 is a \(\text{CAT}(0)\) group., SOME GROUP THEORY PROBLEMS, The automorphism group of a free group is not linear, On linear groups with the property of order finiteness of all primitive words in generators, Non-linear residually finite groups., On the linearity problem for mapping class groups, Sturmian morphisms, the braid group \(B_4\), Christoffel words and bases of \(F_2\)

Cites Work

• Matrix representation for the braid group \(B_4\)
• Free subgroups in linear groups
• Braids, Links, and Mapping Class Groups. (AM-82)
• ALGEBRAIC EQUATIONS WITH CONTINUOUS COEFFICIENTS AND SOME PROBLEMS OF THE ALGEBRAIC THEORY OF BRAIDS
• Unnamed Item
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