Criteria for equidistribution of solutions of word equations on SL(2)

Abstract

We study equidistribution of solutions of word equations of the form w(x,y)=g in the family of finite groups SL(2,q). We provide criteria for equidistribution in terms of the trace polynomial of w. This allows us to get an explicit description of certain classes of words possessing the equidistribution property and show that this property is generic within these classes.

21 pages

References in corpus (4)

• Measure Preserving Words are Primitive
• On the Surjectivity of Engel Words on PSL(2,q)
• Word maps with small image in simple groups
• Words with few values in finite simple groups

Cited by in corpus (1)

• Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture