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On Deciding Finiteness for Matrix Groups over Fields of Positive Characteristic

Published online by Cambridge University Press:  01 February 2010

A. Detinko
A. Detinko
Affiliation:
Department of Applied Mathematics, Polotsk State University, Novopolotsk, Belarus, 211440, [email protected]

Abstract

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The author considers the development of algorithms for deciding whether a finitely generated matrix group over a field of positive characteristic is finite. A deterministic algorithm for deciding the finiteness is presented for the case of a field of transcendence degree one over a finite field.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 4 , 2001 , pp. 64 - 72
Copyright
Copyright © London Mathematical Society 2001

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