Finite presentation of fibre products of metabelian groups
UNSPECIFIED. (2003) Finite presentation of fibre products of metabelian groups. JOURNAL OF PURE AND APPLIED ALGEBRA, 181 (1). pp. 15-22. ISSN 0022-4049Full text not available from this repository.
Official URL: http://dx.doi.org/10.1016/S0022-4049(02)00307-9
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|
|Official Date:||1 June 2003|
|Number of Pages:||8|
|Page Range:||pp. 15-22|
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