2019
Том 71
№ 11

# On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups

Baryshovets P. P.

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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 7, pp 1207-1211.

Citation Example: Baryshovets P. P. On Finite $A$-Groups with Complementable Nonmetacyclic Subgroups // Ukr. Mat. Zh. - 2002. - 54, № 7. - pp. 1004-1007.

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