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http://hdl.handle.net/123456789/3135| Title: | The z-classes of isometries |
| Authors: | Gongopadhyay, Krishnendu |
| Keywords: | Conjugacy classes Centralizers z-classes Orthogonal |
| Issue Date: | 2014 |
| Publisher: | Indian Mathematical Society |
| Citation: | Journal of the Indian Mathematical Society, 81(3-4), pp. 245-258 |
| Abstract: | LetGbe 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 mostn |
| Description: | Only IISERM authors are available in the record. |
| URI: | http://www.informaticsjournals.com/index.php/jims/article/view/1728 http://hdl.handle.net/123456789/3135 |
| Appears in Collections: | Research Articles |
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