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LIFTINGS OF THE ELEMENTARY GROUP OVER ASSOCIATIVE RINGS
2000
Glasgow Mathematical Journal
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Let R be an associative ring with 1, and let I be a nilpotent two-sided ideal of R. Assume further that there exists z P ZR such that zY z 2 À 1 P R Ã . Let m P N with m ! 3. In this paper we describe all liftings of the elementary group E m RaI to the general linear group GL m R, i.e. all splittings of the natural projection E m R M m I 3 E m RaI .
doi:10.1017/s001708950002005x
fatcat:r747i67twbbufhwxncu5u3q23u