The z-classes of isometries

dc.contributor.authorGongopadhyay, Krishnendu
dc.date.accessioned2020-12-15T04:38:07Z
dc.date.available2020-12-15T04:38:07Z
dc.date.issued2014
dc.descriptionOnly IISERM authors are available in the record.
dc.description.abstractLetGbe a group. Two elementsx, yare said to be in thesamez-classif their centralizers are conjugate inG. LetVbe a vectorspace of dimensionnover a fieldFof characteristic different from 2.LetBbe a non-degenerate symmetric, or skew-symmetric, bilinearform onV. Let I(V, B) denote the group of isometries of (V, B). Weshow that the number ofz-classes in I(V, B) is finite whenFis perfectand has the property that it has only finitely many field extensions ofdegree at mostnen_US
dc.identifier.citationJournal of the Indian Mathematical Society, 81(3-4), pp. 245-258en_US
dc.identifier.urihttp://www.informaticsjournals.com/index.php/jims/article/view/1728
dc.identifier.urihttp://hdl.handle.net/123456789/3135
dc.language.isoenen_US
dc.publisherIndian Mathematical Societyen_US
dc.subjectConjugacy classesen_US
dc.subjectCentralizersen_US
dc.subjectz-classesen_US
dc.subjectOrthogonalen_US
dc.titleThe z-classes of isometriesen_US
dc.typeArticleen_US

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