Hausen, Jutta Infinite general linear groups over rings. (English) Zbl 0504.20030 Arch. Math. 39, 510-524 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 20G35 Linear algebraic groups over adèles and other rings and schemes 20E15 Chains and lattices of subgroups, subnormal subgroups 16S50 Endomorphism rings; matrix rings Keywords:normal subgroups of GL; free module; endomorphism ring; special endomorphism PDFBibTeX XMLCite \textit{J. Hausen}, Arch. Math. 39, 510--524 (1982; Zbl 0504.20030) Full Text: DOI References: [1] F. W.Anderson and K. R.Fuller, Rings and Categories of Modules. New York 1974. · Zbl 0301.16001 [2] H. Bass,K-theory and stable algebra. Inst. Hautes Études Sci. Publ. Math.22, 489–544 (1964). · Zbl 0248.18025 [3] J. Dieudonné, Les determinants sur un corps non commutatif. Bull. Soc. Math. France71, 27–45 (1943). · Zbl 0028.33904 [4] I. Golubchik, On the general linear group over an associative ring. Uspekhi Mat. Nauk.28, 179–180 (1973), (Russian). [5] N.Jacobson, Lectures in Abstract Algebra, Vol. II. New York 1953. · Zbl 0053.21204 [6] F.Kasch, Moduln und Ringe. Stuttgart 1977. [7] W. Klingenberg, Lineare Gruppen über lokalen Ringen. Amer. J. Math.89, 137–153 (1961). · Zbl 0098.02303 · doi:10.2307/2372725 [8] G. Maxwell, Infinite general linear groups over rings. Trans. Amer. Math. Soc.151, 371–375 (1970). · Zbl 0213.31003 · doi:10.1090/S0002-9947-1970-0263932-9 [9] B. R. McDonald,GL 2 of rings with many units. Comm. Algebra8, 869–888 (1980). · Zbl 0436.20031 · doi:10.1080/00927878008822495 [10] A. Rosenberg, The structure of the infinite general linear group. Ann. Math.68, 278–294 (1958). · Zbl 0128.25501 · doi:10.2307/1970248 [11] W. Sierpinski, Cardinal and Ordinal Numbers. Polska Akademia Nauk., Warszawa 1958. [12] J. S. Wilson, The normal and subnormal structure of general linear groups. Proc. Cambridge Philos. Soc.71, 163–177 (1972). · Zbl 0237.20044 · doi:10.1017/S0305004100050416 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.