Practical computation with linear groups over infinite domains

Alla Detinko; Dane Flannery

doi:10.1017/9781108692397.011

Practical computation with linear groups over infinite domains

Alla Detinko, Dane Flannery

School of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We survey recent progress in computing with finitely generated linear groups over infinite fields, describing the mathematical background of a methodology applied to design practical algorithms for these groups. Implementations of the algorithms have been used to perform extensive computer experiments.

Original language	English
Title of host publication	Group St Andrews 2017 in Birmingham
Editors	C. M. Campbell, C. W. Parker, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal
Publisher	Cambridge University Press
Pages	261-270
Number of pages	10
ISBN (Print)	9781108728744
DOIs	https://doi.org/10.1017/9781108692397.011
Publication status	Published - 1 Apr 2019
Event	Groups St Andrews 2017 in Birmingham - University of Birmingham, Birmingham, United Kingdom Duration: 5 Aug 2017 → 13 Aug 2017 http://www.groupsstandrews.org/2017/index.shtml

Publication series

Name	London Mathematical Society Lecture Note Series
Publisher	Cambridge University Press
Number	455
ISSN (Print)	0076-0552

Conference

Conference	Groups St Andrews 2017 in Birmingham
Country/Territory	United Kingdom
City	Birmingham
Period	5/08/17 → 13/08/17
Internet address	http://www.groupsstandrews.org/2017/index.shtml

Access to Document

10.1017/9781108692397.011

https://arxiv.org/abs/1805.07587

Cite this

Detinko, A., & Flannery, D. (2019). Practical computation with linear groups over infinite domains. In C. M. Campbell, C. W. Parker, M. R. Quick, E. F. Robertson, & C. M. Roney-Dougal (Eds.), Group St Andrews 2017 in Birmingham (pp. 261-270). (London Mathematical Society Lecture Note Series; No. 455). Cambridge University Press. https://doi.org/10.1017/9781108692397.011

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abstract = "We survey recent progress in computing with finitely generated linear groups over infinite fields, describing the mathematical background of a methodology applied to design practical algorithms for these groups. Implementations of the algorithms have been used to perform extensive computer experiments.",

author = "Alla Detinko and Dane Flannery",

year = "2019",

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doi = "10.1017/9781108692397.011",

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booktitle = "Group St Andrews 2017 in Birmingham",

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note = "Groups St Andrews 2017 in Birmingham ; Conference date: 05-08-2017 Through 13-08-2017",

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Detinko, A & Flannery, D 2019, Practical computation with linear groups over infinite domains. in CM Campbell, CW Parker, MR Quick, EF Robertson & CM Roney-Dougal (eds), Group St Andrews 2017 in Birmingham. London Mathematical Society Lecture Note Series, no. 455, Cambridge University Press, pp. 261-270, Groups St Andrews 2017 in Birmingham, Birmingham, United Kingdom, 5/08/17. https://doi.org/10.1017/9781108692397.011

Practical computation with linear groups over infinite domains. / Detinko, Alla; Flannery, Dane.
Group St Andrews 2017 in Birmingham. ed. / C. M. Campbell; C. W. Parker; M. R. Quick; E. F. Robertson; C. M. Roney-Dougal. Cambridge University Press, 2019. p. 261-270 (London Mathematical Society Lecture Note Series; No. 455).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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Practical computation with linear groups over infinite domains

Abstract

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Conference

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