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.
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| Format: | Article |
| Language: | English |
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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 |
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Article |
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doaj-021b0c9bdd7e444495a1d7fd668fc8fd2020-11-24T20:53:51ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005121989199410.1155/IJMMS.2005.1989On Semiabelian GroupsN. F. Kuzennyi0I. Ya. Subbotin1Algebra Department, Institute of Mathematics, National Academy of Science, 3 Tereshenkivska Street, Kyiv-4 01601, UkraineDepartment of Mathematics, National University, 9920 South La Cienega Boulevard, Inglewood 90301, CA, USAWe 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.http://dx.doi.org/10.1155/IJMMS.2005.1989 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
N. F. Kuzennyi I. Ya. Subbotin |
| spellingShingle |
N. F. Kuzennyi I. Ya. Subbotin On Semiabelian Groups International Journal of Mathematics and Mathematical Sciences |
| author_facet |
N. F. Kuzennyi I. Ya. Subbotin |
| author_sort |
N. F. Kuzennyi |
| title |
On Semiabelian Groups |
| title_short |
On Semiabelian Groups |
| title_full |
On Semiabelian Groups |
| title_fullStr |
On Semiabelian Groups |
| title_full_unstemmed |
On Semiabelian Groups |
| title_sort |
on semiabelian groups |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2005-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/IJMMS.2005.1989 |
| work_keys_str_mv |
AT nfkuzennyi onsemiabeliangroups AT iyasubbotin onsemiabeliangroups |
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1716795963817852928 |