On Semiabelian Groups
We establish some structural results on the semiabelian groups, that is, groups generated by their cyclic normal subgroups. Such groups play a significant role in the theory of supersoluble groups. A description of two-generated semiabelian groups and torsion-free semiabelian groups is obtained.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1989 |
| Summary: | We establish some structural results on the semiabelian groups,
that is, groups generated by their cyclic normal subgroups. Such
groups play a significant role in the theory of supersoluble
groups. A description of two-generated semiabelian groups and
torsion-free semiabelian groups is obtained. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |