2013 | OriginalPaper | Buchkapitel
Some Results and Problems in the Theory of Word Maps
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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.