Geodesic
Stable groups over associative rings with $1/2$. Description of isomorphisms of the stable unitary groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 3-21.

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In this paper, we consider the stable unitary groups over associative rings with $1/2$ and isomorphisms between them. We describe the action of the isomorphisms on the stable elementary unitary subgroup. 
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A. S. Atkarskaya. Stable groups over associative rings with $1/2$. Description of isomorphisms of the stable unitary groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 3-21. http://geodesic.mathdoc.fr/item/FPM_2013_18_4_a0/

[1] Golubchik I. Z., Mikhalëv A. V., “Izomorfizm unitarnykh grupp nad assotsiativnymi koltsami”, Zap. nauch. sem. LOMI AN SSSR, 132, 1983, 97–109 | MR

[2] Klein I. S., Mikhalëv A. V., “Ortogonalnaya gruppa Steinberga nad koltsom s involyutsiei”, Algebra i logika, 9:2 (1970), 145–166 | MR

[3] Petechuk V. M., Avtomorfizmy simplekticheskoi gruppy $\mathrm{Sp}_n(R)$ nad nekotorymi lokalnymi koltsami, Dep. VINITI No 2224-80

[4] Petechuk V. M., “Izomorfizmy simplekticheskikh grupp nad kommutativnymi koltsami”, Algebra i logika, 22:5 (1983), 551–562 | MR | Zbl

[5] Dieudonne J., “On the automorphisms of the classical groups”, Mem. Am. Math. Soc., 2 (1951), 1–95 | DOI | MR

[6] Hahn A. J., O'Meara O. T., The Classical Groups and K-Theory, Springer, Berlin, 1989 | MR | Zbl

[7] Hua L. K., “On the automorphisms of the symplectic group over any field”, Ann. Math., 49 (1948), 739–759 | DOI | MR | Zbl

[8] Johnson A. A., “The automorphisms of the unitary groups over infinite fields”, Am. J. Math., 95:1 (1973), 87–107 | DOI | MR | Zbl

[9] McQueen L., McDonald B. R., “Automorphisms of the symplectic group over a local ring”, J. Algebra, 30:1–3 (1974), 485–495 | DOI | MR | Zbl

[10] O'Meara O. T., “The automorphisms of the standard symplectic group over any integral domain”, J. Reine Angew. Math., 230 (1968), 103–138 | MR

[11] Rickart C. E., “Isomorphic group of linear transformations. II”, Am. J. Math., 73 (1951), 697–716 | DOI | MR | Zbl

[12] Schreier O., van der Waerden B. L., “Die Automorphismen der projektiven Gruppen”, Abh. Math. Sem. Univ. Hamburg, 6 (1928), 303–322 | DOI | MR | Zbl