Geodesic
Stable groups over associative rings with~$1/2$. A~description of isomorphisms of the stable linear groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 1, pp. 3-20

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In this paper, we consider the stable linear groups over associative ring with $1/2$ and isomorphisms between them. We describe an action of the isomorphisms on the stable elementary subgroup. 
@article{FPM_2013_18_1_a0,
     author = {A. S. Atkarskaya},
     title = {Stable groups over associative rings with~$1/2$. {A~description} of isomorphisms of the stable linear groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {3--20},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_1_a0/}
}
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A. S. Atkarskaya. Stable groups over associative rings with~$1/2$. A~description of isomorphisms of the stable linear groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 1, pp. 3-20. http://geodesic.mathdoc.fr/item/FPM_2013_18_1_a0/