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MORITA EQUIVALENT PRINCIPAL 3-BLOCKS OF THE CHEVALLEY GROUPS G2(q)

Published online by Cambridge University Press:  06 March 2003

YOKO USAMI  and
MIYAKO NAKABAYASHI
YOKO USAMI
Affiliation:
Department of Mathematics, Ochanomizu University, 2-1-1, Otsuka, Bunkyo-ku, Tokyo 112, Japan. [email protected]
MIYAKO NAKABAYASHI
Affiliation:
Department of Mathematics, Ochanomizu University, 2-1-1, Otsuka, Bunkyo-ku, Tokyo 112, Japan. [email protected]
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Abstract

The principal 3-block of a Chevalley group $G_2(q)$ with $q$ a power of 2 satisfying $q \equiv 2$ or 5 mod 9 and the principal 3-block of $G_2(2)$ are Morita equivalent.

2000 Mathematical Subject Classification: 20C05, 20C20, 20C33.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 86 , Issue 2 , March 2003 , pp. 397 - 434
Copyright
2003 London Mathematical Society

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