Note on Group Varieties
Nakano, Shigeo
Mem. College Sci. Univ. Kyoto Ser. A Math., Tome 27 (1952) no. 2, p. 55-66 / Harvested from Project Euclid
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This note conssits of two rather separated parts. In the first part (§1), we remark a property of homomorphisms of group varieties, and in the second part (§2 and the following), we prove that if a group variety $G$ contains a group subvariety $H$, there exists a non-singular variety $V$ which has $G$ as a group of transformations, and whose points are in one-to-one correspondence with the cosets of $H$ in $G$.
Publié le : 1952-05-15
Classification:  
@article{1250777650,
     author = {Nakano, Shigeo},
     title = {Note on Group Varieties},
     journal = {Mem. College Sci. Univ. Kyoto Ser. A Math.},
     volume = {27},
     number = {2},
     year = {1952},
     pages = { 55-66},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250777650}
}

Nakano, Shigeo. Note on Group Varieties. Mem. College Sci. Univ. Kyoto Ser. A Math., Tome 27 (1952) no. 2, pp.  55-66. http://gdmltest.u-ga.fr/item/1250777650/