On the structure of the GL 2 of a ring
Publications Mathématiques de l'IHÉS, Tome 30 (1966), pp. 5-53. 
@article{PMIHES_1966__30__5_0,
     author = {Cohn, Paul M.},
     title = {On the structure of the $GL_2$ of a ring},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {5--53},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {30},
     year = {1966},
     mrnumber = {207856},
     zbl = {0144.26301},
     language = {en},
     url = {http://archive.numdam.org/item/PMIHES_1966__30__5_0/}
}
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Cohn, Paul M. On the structure of the $GL_2$ of a ring. Publications Mathématiques de l'IHÉS, Tome 30 (1966), pp. 5-53. http://archive.numdam.org/item/PMIHES_1966__30__5_0/

[1] E. Artin, Geometric Algebra (New York, 1957). | MR | Zbl

[2] H. Bass, K-theory and stable algebra, Publ. math. I.H.E.S., n° 22, Paris (1964). | Numdam | MR | Zbl

[3] H. Bass, Projective modules over free groups are free, J. of Algebra, I (1964), 367-373. | MR | Zbl

[4] P. M. Cohn, On a generalization of the Euclidean algorithm, Proc. Cambridge Phil. Soc., 57 (1961), 18-30. | MR | Zbl

[5] P. M. Cohn, Rings with a weak algorithm, Trans. Amer. Math. Soc., 109 (1963), 332-356. | MR | Zbl

[6] P. M. Cohn, Free ideal rings, J. of Algebra, I (1964), 47-69. | MR | Zbl

[7] J. Dieudonné, Les déterminants sur un corps non commutatif, Bull. Soc. Math. France, 71 (1943), 27-45. | Numdam | MR | Zbl

[8] J. Dieudonné, La géométrie des groupes classiques, Ergeb. d. Math., n° 5 (Berlin, 1955). | MR | Zbl

[9] G. H. Hardy et E. M. Wright, Introduction to the theory of numbers, 2nd ed. (Oxford, 1945).

[10] I. N. Herstein, An elementary proof of a theorem of Jacobson, Duke Math. J., 21 (1954), 45-48. | MR | Zbl

[11] L. K. Hua et I. Reiner, Automorphisms of the unimodular group, Trans. Amer. Math. Soc., 71 (1951), 331-348. | MR | Zbl

[12] W. Klingenberg, Die Struktur der linearen Gruppen über einem nichtkommutativen lokalen Ring, Archiv d. Math., 13 (1962), 73-81. | MR | Zbl

[13] J. Landin et I. Reiner, Automorphisms of the two-dimensional general linear group over a Euclidean ring, Proc. Amer. Math. Soc., 9 (1958), 209-216. | MR | Zbl

[14] H. Nagao, On GL(2, K[x]), J. Inst. Polytech. Osaka City Univ., Ser. A, 10 (1959), 117-121. | MR | Zbl

[15] I. Reiner, A theorem on continued fractions, Proc. Amer. Math. Soc., 8 (1957), 1111-1113. | MR | Zbl

[16] I. Reiner, A new type of automorphism of the general linear group over a ring, Ann. of Math., 66 (1957), 461-466. | MR | Zbl

[17] B. L. V. D. Waerden, Moderne Algebra, I (Berlin, 1937).

[18] J. M. H. Wedderburn, Non-commutative domains of integrity, J. reine u. angew. Math., 167 (1932), 129-141. | JFM | Zbl