TY - JOUR
T1 - Commutators, words, conjugacy classes and character methods
AU - Shalev, Aner
PY - 2007/12
Y1 - 2007/12
N2 - In this survey paper we show how character methods can be used to solve a wide range of seemingly unrelated problems. These include commutators, powers of conjugacy classes and related random walks, as well as word maps and Waring type problems. In particular we describe recent progress made on conjectures of Ore, of Thompson, and of Lulov and Pak. New open problems and conjectures are also stated.
AB - In this survey paper we show how character methods can be used to solve a wide range of seemingly unrelated problems. These include commutators, powers of conjugacy classes and related random walks, as well as word maps and Waring type problems. In particular we describe recent progress made on conjectures of Ore, of Thompson, and of Lulov and Pak. New open problems and conjectures are also stated.
KW - Characters
KW - Commutators
KW - Conjagacy classes
KW - Finite simple groups
KW - Random walks
KW - Word maps
UR - http://www.scopus.com/inward/record.url?scp=38149049959&partnerID=8YFLogxK
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AN - SCOPUS:38149049959
SN - 1300-0098
VL - 31
SP - 131
EP - 148
JO - Turkish Journal of Mathematics
JF - Turkish Journal of Mathematics
IS - SUPPL.
ER -