Elementary subgroup of an isotropic reductive group is perfect
نویسندگان
چکیده
منابع مشابه
Elementary Subgroups of Isotropic Reductive Groups
Let G be a not necessarily split reductive group scheme over a commutative ring R with 1. Given a parabolic subgroup P of G, the elementary group EP (R) is defined to be the subgroup of G(R) generated by UP (R) and UP−(R), where UP and UP− are the unipotent radicals of P and its opposite P −, respectively. It is proved that if G contains a Zariski locally split torus of rank 2, then the group E...
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ژورنال
عنوان ژورنال: St. Petersburg Mathematical Journal
سال: 2012
ISSN: 1061-0022,1547-7371
DOI: 10.1090/s1061-0022-2012-01221-5