2017
Том 69
№ 7

All Issues

On a Factorizable Group with Large Cyclic Subgroups in Factors

Chirik I. K.


Abstract

We prove the supersolvability of a finite factorizable group $G = G_1 G_2 ...G_n$ with pairwise permutable factors each of which has a cyclic subgroup of odd order $H_i$ and $|G_i : H_i | ≤ 2$.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 7, pp 1133-1136.

Citation Example: Chirik I. K. On a Factorizable Group with Large Cyclic Subgroups in Factors // Ukr. Mat. Zh. - 2015. - 67, № 7. - pp. 1006-1008.