Details:
| Title | Recognizing finite matrix groups over infinite fields | | Author(s) | A.S. Detinko, D.L. Flannery, E.A. OʼBrien | | Type | Article in Journal | | Abstract | We present a uniform methodology for computing with finitely generated matrix groups over any infinite field. As one application, we completely solve the problem of deciding finiteness in this class of groups. We also present an algorithm that, given such a finite group as input, in practice successfully constructs an isomorphic copy over a finite field, and uses this copy to investigate the groupʼs structure. Implementations of our algorithms are available in Magma. | | Keywords | Finitely generated linear group, Finite linear group, Decision problem, Algorithm | | ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0747717112001071 |
| Language | English | | Journal | Journal of Symbolic Computation | | Volume | 50 | | Number | 0 | | Pages | 100 - 109 | | Year | 2013 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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