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