Finite A-groups with complementable nonmetacyclic subgroups
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.
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| Date: | 2006 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2006
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3479 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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. |
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