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Preprint Number 1641

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1641. Khaled Jaber, Frank Olaf Wagner (AGL)
Largeness and equational probability in groups

Submission date: 4 September 2019


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.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1909.01588: pdf, ps.

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