Some results and problems in the theory of word maps

Aner Shalev*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

28 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 languageAmerican English
Title of host publicationBolyai Society Mathematical Studies
PublisherSpringer Berlin Heidelberg
Pages611-649
Number of pages39
DOIs
StatePublished - 2013

Publication series

NameBolyai Society Mathematical Studies
Volume25
ISSN (Print)1217-4696

Bibliographical note

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

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