Characteristic properties of large subgroups in primary abelian groups
| dc.creator | Danchev, Peter V | |
| dc.date | 2005-03-02 | |
| dc.date.accessioned | 2026-07-07T05:17:36Z | |
| dc.date.available | 2026-07-07T05:17:36Z | |
| dc.description | Suppose $G$ is an arbitrary additively written primary abelian group with a fixed large subgroup $L$. It is shown that $G$ is (a) summable; (b) $σ$-summable;\break (c) a $Σ$-group; (d) $p^{ω+1}$-projective only when so is $L$. These claims extend results of such a kind obtained by Benabdallah, Eisenstadt, Irwin and Poluianov, {\it Acta Math. Acad. Sci. Hungaricae} (1970) and Khan, {\it Proc. Indian Acad. Sci. Sect. A} (1978). | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503031 | |
| dc.identifier | http://arxiv.org/abs/math/0503031 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 3, August 2004, pp. 225-333 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74362 | |
| dc.subject | Group Theory | |
| dc.subject | 20K07; 20K10; 20K21 | |
| dc.title | Characteristic properties of large subgroups in primary abelian groups | |
| dc.type | text |