Wong, Peng Choon (1980) Cyclic extensions of parafree groups. Transactions of the American Mathematical Society, 258 (2). pp. 441-456. ISSN 0002-9947,
Full text not available from this repository.
Official URL: https://www.ams.org/journals/tran/1980-258-02/S000...
Abstract
Let 1 —> F —> G —> T —> 1 be a short exact sequence where F is parafree and T is infinite cyclic. We examine some properties of G when F/F' is a free Zr-module. Here F' is the commutator subgroup of F and ZT is the integral group ring of T. In particular, we show G is parafree and y„F/y„+ XF is a free Z7"-module for every n > 1 (where ynF is the nth term of the lower central series of F).
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Cyclic extensions; Parafree groups |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 31 Mar 2015 04:44 |
| Last Modified: | 08 Nov 2019 06:56 |
| URI: | http://eprints.um.edu.my/id/eprint/13173 |
Actions (login required)
 |
View Item |
