Linear groups and computation

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

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: Jan 30, 2020
• 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
• Contract Date: May 17, 2019