TY - CHAP
T1 - Some results and problems in the theory of word maps
AU - Shalev, Aner
N1 - Publisher Copyright: © János Bolyai Mathematical Society and Springer-Verlag 2013.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84954117558&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-39286-3_22
DO - 10.1007/978-3-642-39286-3_22
M3 - فصل
T3 - Bolyai Society Mathematical Studies
SP - 611
EP - 649
BT - Bolyai Society Mathematical Studies
ER -