Geodesic
LIFTINGS OF THEELEMENTARY GROUP OVER ASSOCIATIVE RINGS
Glasgow mathematical journal, Tome 42 (2000) no. 2, pp. 201-209

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Let R be anassociative ring with 1, and let I be a nilpotent two-sidedideal of R. Assume further that there exists z \in Z(R) suchthat z, z^2-1 \in R^*. Let m \in N with m \geq3. In this paper we describe all liftings of the elementary group{\tf="times-b"E}_m(R/I\,) to the general linear group{\tf="times-b"GL}_m(R), i.e. all splittings of the natural projection{\tf="times-b"E}_m(R) + {\tf="times-b"M}_m(I\,) \rightarrow{\tf="times-b"E}_m(R/I\,). 
LIFTINGS OF THEELEMENTARY GROUP OVER ASSOCIATIVE RINGS. Glasgow mathematical journal, Tome 42 (2000) no. 2, pp. 201-209. doi: 10.1017/S001708950002005X
@misc{10_1017_S001708950002005X,
     title = {LIFTINGS {OF} {THEELEMENTARY} {GROUP} {OVER} {ASSOCIATIVE} {RINGS}},
     journal = {Glasgow mathematical journal},
     pages = {201--209},
     year = {2000},
     volume = {42},
     number = {2},
     doi = {10.1017/S001708950002005X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950002005X/}
}
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