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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. doi:10.1016/S0022-4049(02)00307-9 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF PURE AND APPLIED ALGEBRA | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0022-4049 | ||||
Official Date: | 1 June 2003 | ||||
Dates: |
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Volume: | 181 | ||||
Number: | 1 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 15-22 | ||||
DOI: | 10.1016/S0022-4049(02)00307-9 | ||||
Publication Status: | Published |
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