English

On the products in the finite groups

Group Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0212108,
  title  = {On the products in the finite groups},
  author = {V. V. Genk},
  journal= {arXiv preprint arXiv:math/0212108},
  year   = {2007}
}

Comments

LaTex v2.09, 4 pages

R2 v1 2026-07-22T16:50:06.908Z