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Journal Articles Annales Mathématiques Blaise Pascal Year : 2020

Largeness and equational probability in groups

Khaled Jaber
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Frank Olaf Wagner
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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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Dates and versions

hal-02271406 , version 1 (26-08-2019)
hal-02271406 , version 2 (24-02-2020)



Khaled Jaber, Frank Olaf Wagner. Largeness and equational probability in groups. Annales Mathématiques Blaise Pascal, In press, ⟨10.5802/ambp.388⟩. ⟨hal-02271406v2⟩
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