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A non-classical construction of BN-pairs

Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2009-01-01

Journal: JOURNAL OF GROUP THEORY

Included Journals: Scopus、SCIE

Volume: 12

Issue: 6

Page Number: 831-844

ISSN: 1433-5883

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.

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