•  
  •  
 

Turkish Journal of Mathematics

Authors

ANER SHALEV

DOI

-

Abstract

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.

First Page

131

Last Page

148

Included in

Mathematics Commons

Share

COinS