Largeness and equational probability in groups
Logic
2020-03-09 v2 Group Theory
Abstract
We define k-genericity and k-largeness for a subset of a group, and determine the value of k for which a k-large subset of G^n is already the whole of G^n , for various equationally defined subsets. We link this with the inner measure of the set of solutions of an equation in a group, leading to new results and/or proofs in equational probabilistic group theory.
Cite
@article{arxiv.1909.01588,
title = {Largeness and equational probability in groups},
author = {Khaled Jaber and Frank Olaf Wagner},
journal= {arXiv preprint arXiv:1909.01588},
year = {2020}
}
Comments
Annales math{\'e}matiques Blaise Pascal, cedram, In press