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Publicly Available Published by De Gruyter November 6, 2008

Certain classical groups are not well-defined

  • John N. Bray , Derek F. Holt and Colva M. Roney-Dougal
From the journal Journal of Group Theory

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.

Received: 2007-12-21
Published Online: 2008-11-06
Published in Print: 2009-March

© de Gruyter 2009

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