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Linear groups and computation

Research output: Contribution to journalArticle

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Author(s)

Alla Detinko, Dane Flannery

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Abstract

We present an exposition of our ongoing project in a new area of applicable mathematics: practical computation with finitely generated linear groups over infinite fields. Methodology and algorithms available for practical computation in this class of groups are surveyed. We illustrate the solution of hard mathematical problems by computer experimentation. Possible avenues for further progress are discussed.
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Original languageEnglish
Number of pages31
JournalExpositiones Mathematicae
VolumeIn press
Early online date29 Jul 2018
DOIs
StateE-pub ahead of print - 29 Jul 2018

    Research areas

  • Matrix group, Algorithm, Computation, Decidable problem

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    Detinko, A., Flannery, D. & Hulpke, A. 4 Jun 2018 In : Experimental Mathematics. Latest Articles, 10 p.

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  2. Practical computation with linear groups over infinite domains

    Detinko, A. & Flannery, D. May 2018 (Accepted/In press) In : London Mathematical Society Lecture Note Series. 10 p.

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  3. Zariski density and computing in arithmetic groups

    Detinko, A., Flannery, D. L. & Hulpke, A. Mar 2018 In : Mathematics of Computation. 87, 310, p. 967-986

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  4. Recent advances in computing with infinite linear groups

    Detinko, A. & Flannery, D. 22 Apr 2017 Oberwolfach Reports. European Mathematical Society Publishing House, Vol. 13, p. 2136-2139

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  5. L.G. Kovács and linear groups

    Detinko, A. S. & Flannery, D. L. Feb 2017 In : Journal of the Australian Mathematical Society. 102, 1, p. 55-62

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ID: 253120361