Capability of nilpotent products of cyclic groups II
| dc.creator | Magidin, Arturo | |
| dc.date | 2006-06-04 | |
| dc.date.accessioned | 2026-07-07T08:52:40Z | |
| dc.date.available | 2026-07-07T08:52:40Z | |
| dc.description | In Part I it was shown that if G is a p-group of class k, generated by elements of orders 1<p^{alpha_1} <= ... <= p^{alpha_r}, then a necessary condition for the capability of G is that r>1 and alpha_r <= alpha_{r-1} + [(k-1)/(p-1)]. It was also shown that when G is the k-nilpotent product of the cyclic groups generated by those elements and k=p=2 or k<p, then the given conditions are also sufficient. We make a correction related to the small class case, and extend the sufficiency result to k=p for arbitrary prime p. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606093 | |
| dc.identifier | http://arxiv.org/abs/math/0606093 | |
| dc.identifier | Journal of Group Theory 10 (2007) no. 4, pp. 441-451 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145358 | |
| dc.subject | Group Theory | |
| dc.subject | 20D15; 20F12 | |
| dc.title | Capability of nilpotent products of cyclic groups II | |
| dc.type | text |