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Linear groups and computation

Detinko, A. S.; Flannery, D. L.

Authors

A. S. Detinko

D. L. Flannery



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 this class of groups are surveyed. We illustrate the solution of hard mathematical problems by computer experimentation. Possible avenues for further progress are discussed.

Citation

Detinko, A. S., & Flannery, D. L. (2019). Linear groups and computation. Expositiones Mathematicae, 37(4), 454-484. https://doi.org/10.1016/j.exmath.2018.07.002

Journal Article Type Article
Acceptance Date Jul 1, 2018
Online Publication Date Jul 29, 2018
Publication Date Dec 1, 2019
Deposit Date May 16, 2019
Publicly Available Date Mar 28, 2024
Journal Expositiones Mathematicae
Print ISSN 0723-0869
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 37
Issue 4
Pages 454-484
DOI https://doi.org/10.1016/j.exmath.2018.07.002
Keywords Matrix group; Algorithm; Computation; Decision problem
Public URL https://hull-repository.worktribe.com/output/1794173
Publisher URL https://www.sciencedirect.com/science/article/pii/S0723086918301130?via%3Dihub

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