Algorithms for computing with nilpotent matrix groups over infinite domains

A. S. Detinko; D. L. Flannery

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arXiv · 1907.06045

Algorithms for computing with nilpotent matrix groups over infinite domains

A. S. Detinko·D. L. Flannery

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Abstract

We develop methods for computing with matrix groups defined over a range of infinite domains, and apply those methods to the design of algorithms for nilpotent groups. In particular, we provide a practical algorithm to test nilpotency of matrix groups over an infinite field. We also provide algorithms that answer a number of structural questions for a given nilpotent matrix group. The algorithms have been implemented in GAP and MAGMA.

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BibTeX RIS

A. S. Detinko, D. L. Flannery. 2019-07-13. Algorithms for computing with nilpotent matrix groups over infinite domains. https://arxiv.org/abs/1907.06045

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