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A non-classical construction of BN-pairs.

Authors :
Jizhu Nan
Jing Zhao
Source :
Journal of Group Theory. Nov2009, Vol. 12 Issue 6, p831-844. 14p.
Publication Year :
2009

Abstract

In this paper, we define B to be a certain subgroup in a classical group over a finite field and use it to construct non-classical BN-pairs. We also show that this construction is different from the classical one. As an application, we give transcendence bases for the fields of rational invariants of their subgroups B and N. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14335883
Volume :
12
Issue :
6
Database :
Academic Search Index
Journal :
Journal of Group Theory
Publication Type :
Academic Journal
Accession number :
47679146
Full Text :
https://doi.org/10.1515/JGT.2009.016