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March 2000 ``Hasse principle'' for $GL_n(D)$
Hideo Wada
Proc. Japan Acad. Ser. A Math. Sci. 76(3): 44-46 (March 2000). DOI: 10.3792/pjaa.76.44


Let $D$ be a Euclidian domain, $G$ be a $GL_n(D)$ and $f$ be an endomorphism of $G$ which preserves conjugacy classes. Then we shall prove $f$ must be an inner automorphism, namely $G$ enjoys the Hasse principle.


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Hideo Wada. "``Hasse principle'' for $GL_n(D)$." Proc. Japan Acad. Ser. A Math. Sci. 76 (3) 44 - 46, March 2000.


Published: March 2000
First available in Project Euclid: 23 May 2006

zbMATH: 0967.20027
MathSciNet: MR1762070
Digital Object Identifier: 10.3792/pjaa.76.44

Primary: 11C20

Keywords: general linear group , Hasse principle

Rights: Copyright © 2000 The Japan Academy

Vol.76 • No. 3 • March 2000
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