On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups

  • P. P. Baryshovets Нац. авиац. ун-т, Киев

Abstract

We study groups G satisfying the following conditions:

(i) G is a finite solvable group with nonidentity metacyclic second derived subgroup;

(ii) all Sylow subgroups of G are Abelian, but not all of them are elementary Abelian.

We give a description of the structure of such groups with complementable nonmetacyclic subgroups.

Published
25.07.2002
How to Cite
BaryshovetsP. P. “On Finite $A$-Groups With Complementable Nonmetacyclic Subgroups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 7, July 2002, pp. 1004-7, https://umj.imath.kiev.ua/index.php/umj/article/view/4138.
Section
Short communications