Some results and problems in the theory of word maps

Aner Shalev

doi:10.1007/978-3-642-39286-3_22

Some results and problems in the theory of word maps

Aner Shalev^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

30 Scopus citations

Abstract

In recent years there has been much interest in word maps on groups, with various motivations and applications. Substantial progress has been made and many fundamental questions were solved, using a wide spectrum of tools, including representation theory, probability and geometry. This paper is an extended survey of the various developments in this field. We also suggest remaining open problems, conjectures and possible directions for further research.

Original language	English
Title of host publication	Bolyai Society Mathematical Studies
Publisher	Springer Berlin Heidelberg
Pages	611-649
Number of pages	39
DOIs	https://doi.org/10.1007/978-3-642-39286-3_22
State	Published - 2013

Publication series

Name	Bolyai Society Mathematical Studies
Volume	25
ISSN (Print)	1217-4696

Bibliographical note

Publisher Copyright:
© János Bolyai Mathematical Society and Springer-Verlag 2013.

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10.1007/978-3-642-39286-3_22

Cite this

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Some results and problems in the theory of word maps

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