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Linear groups and computation

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Detinko_2018_EM_computation_AAM.pdf (370.7Kb)
Date
12/2019
Author
Detinko, Alla
Flannery, Dane
Keywords
Matrix group
Algorithm
Computation
Decidable problem
QA Mathematics
QA75 Electronic computers. Computer science
T-NDAS
Metadata
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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.
Citation
Detinko , A & Flannery , D 2019 , ' Linear groups and computation ' , Expositiones Mathematicae , vol. 37 , no. 4 , pp. 454-484 . https://doi.org/10.1016/j.exmath.2018.07.002
Publication
Expositiones Mathematicae
Status
Peer reviewed
DOI
https://doi.org/10.1016/j.exmath.2018.07.002
ISSN
0723-0869
Type
Journal article
Rights
© 2018 Elsevier GmbH. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1016/j.exmath.2018.07.002
Description
Funding: A. S. Detinko is supported by a Marie Skłodowska-Curie Individual Fellowship grant (Horizon 2020, EU Framework Programme for Research and Innovation).
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  • University of St Andrews Research
URL
https://arxiv.org/abs/1805.05984
URI
http://hdl.handle.net/10023/19370

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