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arXiv · 1109.0155

Dynamics of Aut(Fn) Actions on Group Presentations and Representations

Alexander Lubotzky
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Abstract

Several different areas of group theory, topology and geometry have led to the study of the action of Aut(Fn) | the automorphism group of the free group on n generators | on Hom(Fn;G) when G is either finite,compact or simple Lie group. In this survey, we describe these topics and results, with special emphasis on some similarities and with an effort to give a somewhat uniform treatment. This perspective sometimes suggests new questions, conjectures and methods borrowed from one area to another.

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Alexander Lubotzky. 2011-09-01. Dynamics of Aut(Fn) Actions on Group Presentations and Representations. https://arxiv.org/abs/1109.0155

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