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A 3-manifold group which is not four dimensional linear


Type

Article

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Authors

Button, JO 

Abstract

We give examples of closed orientable graph 3-manifolds having a fundamental group which is not a subgroup of GL(4, F) for any field F. This answers a question in the Kirby problem list from 1977 which is credited to the late William Thurston.

Description

Keywords

4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences

Journal Title

Journal of Pure and Applied Algebra

Conference Name

Journal ISSN

0022-4049
1873-1376

Volume Title

218

Publisher

Elsevier