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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus

IMPACT FACTOR 2018: 0.470
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CiteScore 2018: 0.53

SCImago Journal Rank (SJR) 2018: 0.566
Source Normalized Impact per Paper (SNIP) 2018: 1.047

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Volume 18, Issue 6


Low-dimensional free and linear representations of Out(F3)

Dawid Kielak
Published Online: 2015-08-13 | DOI: https://doi.org/10.1515/jgth-2015-0026


We study homomorphisms from Out(F3) to Out(F5) and GLm(𝕂) for m ≤ 6, where 𝕂 is a field of characteristic other than 2 or 3. We conclude that all 𝕂-linear representations of dimension at most 6 of Out(F3) factor through GL3(ℤ), and that all homomorphisms Out(F3) → Out(F5) have finite image.

The author wishes to thank Martin R. Bridson for all his help.

About the article

Received: 2013-04-03

Revised: 2015-06-15

Published Online: 2015-08-13

Published in Print: 2015-11-01

Funding Source: United Kingdom

Award identifier / Grant number: EPSRC

Citation Information: Journal of Group Theory, Volume 18, Issue 6, Pages 913–949, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth-2015-0026.

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