2019
Том 71
№ 6

# On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups

Baryshovets P. P.

Abstract

We study groups G that satisfy the following conditions: (i) G is a finite solvable group with nonprimary metacyclic second subgroup and (ii) all Sylow subgroups of the group G are elementary Abelian subgroups. We describe the structure of groups of this type with complementable nonmetacyclic subgroups.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 12, pp 1949-1955.

Citation Example: Baryshovets P. P. On Complementability of Nonmetacyclic Subgroups in Finite $A$-Groups // Ukr. Mat. Zh. - 2001. - 53, № 12. - pp. 1600-1606.

Full text