2017
Том 69
№ 9

All Issues

On the Derived Length of a Finite Group with Complemented Subgroups of Order $p^2$

Knyagina V. N., Monakhov V. S.


Abstract

It is shown that a finite group with complemented subgroups of order $p^2$ is soluble for all $p$ and its derived length does not exceed 4.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 7, pp 989-997.

Citation Example: Knyagina V. N., Monakhov V. S. On the Derived Length of a Finite Group with Complemented Subgroups of Order $p^2$ // Ukr. Mat. Zh. - 2015. - 67, № 7. - pp. 874–881.