Capability of nilpotent products of cyclic groups
A group is called capable if it is a central factor group. We consider the capability of nilpotent products of cyclic groups, and obtain a generalization of a theorem of Baer for the small class case. The approach is also used to obtain some recent results on the capability of certain nilpo tent gro...
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| Published in | Journal of group theory Vol. 8; no. 4; pp. 431 - 452 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Walter de Gruyter
20.07.2005
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| Online Access | Get full text |
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| Summary: | A group is called capable if it is a central factor group. We consider the capability of nilpotent products of cyclic groups, and obtain a generalization of a theorem of Baer for the small class case. The approach is also used to obtain some recent results on the capability of certain nilpo tent groups of class 2. We also establish a necessary condition for the capability of an arbitrary p -group of class k, and some further results. |
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| Bibliography: | ArticleID:jgth.8.4.431 istex:688F1246CDC58B512EC5755E0BCCAD9E7D56BBCF ark:/67375/QT4-BWKVCNRK-B jgth.2005.8.4.431.pdf |
| ISSN: | 1433-5883 1435-4446 |
| DOI: | 10.1515/jgth.2005.8.4.431 |