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About Nilpotent Profinite Groups Largely Satisfying a Word Equation

We show that in a nilpotent profinite group, the set of answers of a word equation has nonempty interior, provided that this set has a positive Haar measure. This fact shows that the conjecture proposed by Lévai and Pyber is true for nilpotent profinite groups.

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Bibliographic Details
Main Author: Meisam Soleimani Malekan
Format: Artigo
Language:Inglês
Published: Aracne 2026-06-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:https://www.advgrouptheory.com/journal/Volumes/23/Malekan.pdf
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