Bias of group generators in finite and profinite groups: known results and open problems

We analyze some properties of the distribution Q G,k of the first component in a k -tuple chosen uniformly‎ ‎in the set of all the k -tuples generating a finite group G (the limiting distribution of the product replacement algorithm)‎. ‎In particular‎, ‎we concentrate our attention on‎ ‎the study...

Full description

Bibliographic Details
Main Authors: Eleonora Crestani, Andrea Lucchini
Format: Article
Language:English
Published: University of Isfahan 2015-06-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/pdf_9895_88e6083ca4021d45413514f530fff685.html