Abstract
The Steinberg group over a ring along an arbitrary set is defined. Its properties, structure, and isomorphism theory are studied.
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References
Bass, H., AlgebraicK-Theory, Benjamin, New York 1968.
Magurn, B.A. (Ed.), Reviews inK-Theory 1940–84, Amer. Math. Soc., Providence, R.I., 1985.
Milnor, J. Introduction to AlgebraicK-Theory, Annals of Math. Studies, 72, Princeton, 1971.
Li Fu-an,Finite presentability of Steinberg groups over group rings, Acta Math. Sinica (New Ser.),5 (1989), 297–301.
Li Fu-an,Decomposition of Steinberg groups, Chinese Science Bulletin,37 (1992), 1244–1248.
Li Fu-an,Isomorphisms of stable Steinberg groups, Chinese Annals of Math.,14B (1993), 183–188.
O'Meara, O.T.,A general isomorphism theory for linear groups, J. Algebra,44 (1977), 93–142.
Petechuk, V.M.,Automorphisms of matrix groups over commutative rings, Math. USSR Sb.,45 (1983), 527–542.
Sharpe, R.W.,On the structure of the Steinberg group St(Λ), J. Algebra,68 (1981), 453–467.
Silvester, J.R., Introduction to AlgebraicK-Theory, Chapman and Hall, London-New York, 1981.
Steinberg, R., Générateurs, relations et revêtements de groupes algebriques, in: Colloq. Théorie des groupes algebriques, Bruxelles, 1962.
Steinberg, R., Lectures on Chevalley Groups, (Note prepared by J. Faulkner and R. Wilson), Yale Univ., New Haven, 1968.
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Supported by the National Natural Science Foundation of China.
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Fuan, L. Infinite steinberg groups. Acta Mathematica Sinica 10, 149–157 (1994). https://doi.org/10.1007/BF02580422
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DOI: https://doi.org/10.1007/BF02580422