``Hasse principle'' for $GL_n(D)$

Wada, Hideo

Wada, Hideo

Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 44-46 / Harvested from Project Euclid

Résumé

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.

Publié le : 2000-03-14
Classification: Hasse principle, general linear group, 11C20

@article{1148393560,
     author = {Wada, Hideo},
     title = {``Hasse principle'' for $GL\_n(D)$},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 44-46},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393560}
}

Wada, Hideo. ``Hasse principle'' for $GL_n(D)$. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  44-46. http://gdmltest.u-ga.fr/item/1148393560/