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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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Bibliografiset tiedot
Päätekijä: Meisam Soleimani Malekan
Aineistotyyppi: Artigo
Kieli:Inglês
Julkaistu: Aracne 2026-06-01
Sarja:Advances in Group Theory and Applications
Aiheet:
Linkit:https://www.advgrouptheory.com/journal/Volumes/23/Malekan.pdf
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