Certain classical groups are not well-defined

Colva Mary Roney-Dougal; John Bray; Derek Holt

Certain classical groups are not well-defined

Colva Mary Roney-Dougal, John Bray, Derek Holt

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	171-180
Journal	Journal of Group Theory
Volume	12
Publication status	Published - 2009

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title = "Certain classical groups are not well-defined",

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.",

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AU - Roney-Dougal, Colva Mary

AU - Bray, John

AU - Holt, Derek

PY - 2009

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N2 - 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.

AB - 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.

M3 - Article

SN - 1433-5883

VL - 12

SP - 171

EP - 180

JO - Journal of Group Theory

JF - Journal of Group Theory

ER -

Certain classical groups are not well-defined

Abstract

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