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A non-classical construction of BN-pairs

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Indexed by:期刊论文

Date of Publication:2009-01-01

Journal:JOURNAL OF GROUP THEORY

Included Journals:SCIE、Scopus

Volume:12

Issue:6

Page Number:831-844

ISSN No.: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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