Largeness and equational probability in groups

Khaled Jaber; Frank Olaf Wagner

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arXiv · 1909.01588

Largeness and equational probability in groups

Khaled Jaber·Frank Olaf Wagner

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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.

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Khaled Jaber, Frank Olaf Wagner. 2019-09-04. Largeness and equational probability in groups. https://arxiv.org/abs/1909.01588

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