The Chebotarev invariant of a finite group
Group Theory
2010-08-31 v1 Number Theory
Abstract
We consider invariants of a finite group related to the number of random (independent, uniformly distributed) conjugacy classes which are required to generate it. These invariants are intuitively related to problems of Galois theory. We find group-theoretic expressions for them and investigate their values both theoretically and numerically.
Cite
@article{arxiv.1008.4909,
title = {The Chebotarev invariant of a finite group},
author = {Emmanuel Kowalski and David Zywina},
journal= {arXiv preprint arXiv:1008.4909},
year = {2010}
}
Comments
47 pages, 2 figures, 14 tables