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Isomorphisms of linear groups over an associative ring

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Literature Cited

  1. O. Schreier and B. L. von der Waerden, “Die Automorphismen der projektiven Gruppen,” Abh. Math. Sem. Univ. Hamburg,9, No. 6, 303–322 (1928).

    Google Scholar 

  2. L. K. Hua and I. Reiner, “Automorphisms of the projective unimodular group,” Trans. Am. Math. Soc.,72, No. 3, 476–478 (1952).

    Google Scholar 

  3. J. Dieudonne, La Geometrie des Groupes Classiques, Springer-Verlag, Berlin-Göttingen-Heidelberg (1963).

    Google Scholar 

  4. O. T. O'Meara, “The integral classical groups and their automorphisms,” in: Proc. Sympos. Pure Math.,20, 76–85 (1971), Am. math. Soc., Providence.

    Google Scholar 

  5. O. T. O'Meara, Symplectic Groups, Am. Math. Soc., Providence (1978).

    Google Scholar 

  6. P. M. Cohn, “On the structure of the GLn of a ring,” Publ. Math. IHES, No. 30, 5–53 (1966).

    Google Scholar 

  7. W. S. Waterhouse, “Automorphisms of GLn(R),” Proc. Am. Math. Soc.,79, No. 3, 347–351 (1980).

    Google Scholar 

  8. in: Automorphisms of the Classical Groups [Russian translation], Mir, Moscow (1976) (MR 55, #267).

  9. in: Isomorphisms of Classical Groups over Integral Rings [Russian translation], Mir, Moscow (1980) (MR 82b:20001).

  10. D. James, W. Waterhouse, and B. Weisfeiler, “Abstract homorphisms of algebraic groups: Problems and bibliography,” Commun. Algebra,9, No. 1, 95–114 (1981).

    Google Scholar 

  11. I. Z. Golubchik and A. V. Mikhalev, “On the isomorphisms of full linear groups,” Proceedings Fifth All-Union Symposium on the Theory of Rings, Algebras and Modules [in Russian], Novosibirsk (1982).

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Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 26, No. 4, pp. 49–67, July–August, 1985.

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Zel'manov, E.I. Isomorphisms of linear groups over an associative ring. Sib Math J 26, 515–530 (1985). https://doi.org/10.1007/BF00971299

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