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Capability of nilpotent products of cyclic groups | | Arturo Magidin
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10 Mar 2004 | | Journal: | J. Group Theory 8, no. 4 (2005) pp. 431-452 | | Subject: | Group Theory MSC-class: 20D15, 20F12 (Primary) | math.GR | | Abstract: | 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 nilpotent groups of class 2. We also prove a necessary condition for the capability of an arbitrary p-group of class k, and some further results. | | Source: | arXiv, math.GR/0403188 | | Services: | Forum | Review | PDF | Favorites | |
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