This is a preview of subscription content, log in via an institution to check access.
Literature Cited
W. Magnus, Über n-dimensionale Gittertransformationen,” Acta Math.,64, 353–367 (1934).
S. M. Green, “Generators and relations for the special linear group over a division ring,” Proc. Am. Math. Soc.,62, No. 2, 229–232 (1977).
Wan, Zhe-hsian, “Defining relations of the n-dimensional modular group,” Beitszin' Shifan' Dasayué Késyué Lun'ven' Syuantszi, 48–70 (1959).
Zh. S. Satarov, “Defining relations of the special unitary group over a quadratic extension of an ordered Euclidean field,” Mat. Sb.,126, No. 3, 426–430 (1985).
Z. I. Borevich and Kh. O. Lesama Serrano, “The group of invertible elements of a semiperfect ring,” in: Rings and Modules. Limit Theorems in the Theory of Probability. Leningrad (1986), pp. 14–67.
N. S. Romanovskii, “Generators and relations for the full linear group over a local ring,” Sib. Mat. Zh.,13, No. 4, 922–925 (1971).
B. J. Muller, “On semiperfect rings,” Illinois J. Math.,14, 464–467 (1970).
D. A. Suprunenko, Matrix Groups [in Russian], Nauka, Moscow (1972).
Zh. S. Satarov, “Defining relations for the orthogonal group over an ordered Euclidean field,” Sib. Mat. Zh.,27, No. 2, 171–175 (1986).
Zh. S. Satarov, “Defining relations for an elementary triangular group over rings,” Mat. Zametki.,39, No. 6, 785–790 (1986).
Additional information
Osh. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 3, pp. 167–175, May–June, 1990.
Rights and permissions
About this article
Cite this article
Satarov, Z.S. Generators and relations in the special multiplicative group of a weakly perfect ring. Sib Math J 31, 498–505 (1990). https://doi.org/10.1007/BF00970356
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00970356