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Communications in Algebra Volume 45, 2017 - Issue 3
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Original Articles

Applications of the wall form to unipotent isometries of index two

A.-H. NokhodkarDepartment of Pure Mathematics, Faculty of Science, University of Kashan, Kashan, IranCorrespondence[email protected]
Pages 1019-1027 | Received 08 Dec 2015, Published online: 07 Oct 2016
 
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ABSTRACT

We investigate the Wall form of unipotent elements of index two in the orthogonal group and obtain a decomposition for these elements. Also, in characteristic two, the relation between the Wall form and some invariants of the induced involution on the Clifford algebra is studied.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgment

The author thanks the referee for several useful comments and correections.

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