Largeness and equational probability in groups - Archive ouverte HAL Access content directly
Journal Articles Annales Mathématiques Blaise Pascal Year : 2020

Largeness and equational probability in groups

Khaled Jaber
  • Function : Author
  • PersonId : 1052799
Frank Olaf Wagner
  • Function : Author
  • PersonId : 872579

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.
Fichier principal
Vignette du fichier
probagrp.pdf (182.06 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

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

Identifiers

Cite

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

Altmetric

Share

Gmail Facebook Twitter LinkedIn More