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Finite presentation of fibre products of metabelian groups
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UNSPECIFIED (2003) Finite presentation of fibre products of metabelian groups. JOURNAL OF PURE AND APPLIED ALGEBRA, 181 (1). pp. 15-22. ISSN 0022-4049
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Official URL: http://dx.doi.org/10.1016/S0022-4049(02)00307-9
Abstract
We show that if Gamma is a finitely presented metabelian group, then the "untwisted" fibre product or pull-back P associated to any short exact sequence 1 --> N --> Gamma --> Q --> 1 is again finitely presented. In contrast, if N and Q are abelian, then the analogous "twisted" fibre-product is not finitely presented unless F is polycyclic. Also a number of examples are constructed, including a non-finitely presented metabelian group P with H-2(P,Z) finitely generated. (C) 2003 Elsevier Science B.V. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | JOURNAL OF PURE AND APPLIED ALGEBRA |
| Publisher: | ELSEVIER SCIENCE BV |
| ISSN: | 0022-4049 |
| Date: | 1 June 2003 |
| Volume: | 181 |
| Number: | 1 |
| Number of Pages: | 8 |
| Page Range: | pp. 15-22 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/9798 |
Data sourced from Thomson Reuters' Web of Knowledge
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