On the products in the finite groups

2002/12/07 by V. V. Genk, Genk, V. V.
Mathematics · #20D40 #20F12 #FOS: Mathematics #Group Theory (math.GR) #Mathematics and Applications #math.GR #msc:20D40 #msc:20F12

paper · pdf · doi:10.48550/arxiv.math/0212108

LaTex v2.09, 4 pages

arxiv created 2002/12/07 · openalex publication_date 2002/12/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

All possible products of all elements of an odd order finite group are considered. A set of all such products is called as a K-set. A hypothesis of K-set coincidence of any group of an odd order with its commutant is proposed and the hypothesis validity for groups with a commutant of a simple structure is shown.

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