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Certain classical groups are not well-defined
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Bray, John N., Holt, Derek F. and Roney-Dougal, Colva M. (2009) Certain classical groups are not well-defined. Journal of Group Theory, Vol.12 (No.2). pp. 171-180. doi:10.1515/JGT.2008.069 ISSN 1433-5883.
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Official URL: http://dx.doi.org/10.1515/JGT.2008.069
Abstract
In this article we show that the isomorphism type of certain semilinear classical groups may depend on the choice of form matrix, as well as the dimension and the field size. When there is more than one isomorphism type, we count them and present effective polynomial-time algorithms to determine whether two such groups are isomorphic.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Group Theory | ||||
| Publisher: | Walter de Gruyter & Co | ||||
| ISSN: | 1433-5883 | ||||
| Official Date: | March 2009 | ||||
| Dates: |
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| Volume: | Vol.12 | ||||
| Number: | No.2 | ||||
| Number of Pages: | 10 | ||||
| Page Range: | pp. 171-180 | ||||
| DOI: | 10.1515/JGT.2008.069 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Nuffield Foundation |
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