Wong, Peng Choon
(1980)
*Cyclic extensions of parafree groups.*
Transactions of the American Mathematical Society, 258 (2).
pp. 441-456.
ISSN 0002-9947

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 |
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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 |

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