2017
Том 69
№ 9

All Issues

Finite A-groups with complementable nonmetacyclic subgroups

Baryshovets P. P.

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Abstract

We study groups G, satisfying the following conditions:
1)G — is a finite soluble group with nontrivial prime-power metacyclic second commutator subgroup;
2)all Sylow subgroups of G are elementary Abelian.
We describe the structure of these groups with complemented nonmetacyclic subgroup.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 5, pp 685-693.

Citation Example: Baryshovets P. P. Finite A-groups with complementable nonmetacyclic subgroups // Ukr. Mat. Zh. - 2006. - 58, № 5. - pp. 607–615.

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