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arXiv · 1905.05234

Algorithms for the Tits alternative and related problems

A. S. Detinko·D. L. Flannery·E. A. O'Brien
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Abstract

We present an algorithm that decides whether a finitely generated linear group over an infinite field is solvable-by-finite: a computationally effective version of the Tits alternative. We also give algorithms to decide whether the group is nilpotent-by-finite, abelian-by-finite, or central-by-finite. Our algorithms have been implemented in MAGMA and are publicly available.

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A. S. Detinko, D. L. Flannery, E. A. O'Brien. 2019-05-13. Algorithms for the Tits alternative and related problems. https://arxiv.org/abs/1905.05234

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