Abstract
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 $G$.
Citation
Shigeo Nakano. "Note on Group Varieties." Mem. College Sci. Univ. Kyoto Ser. A Math. 27 (1) 55 - 66, 1952. https://doi.org/10.1215/kjm/1250777650
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