Injective stability for K1 of the orthogonal group
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Published in: | Journal of algebra Vol. 323; no. 2; pp. 393 - 396 |
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Format: | Journal Article |
Language: | English |
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15-01-2010
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Author | Jose, Selby Rao, Ravi A. Basu, Rabeya |
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Author_xml | – sequence: 1 givenname: Ravi A. surname: Rao fullname: Rao, Ravi A. – sequence: 2 givenname: Rabeya surname: Basu fullname: Basu, Rabeya – sequence: 3 givenname: Selby surname: Jose fullname: Jose, Selby |
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Cites_doi | 10.1070/SM1970v010n03ABEH001673 10.1007/BF01410201 10.1007/BF02684586 10.1016/j.jpaa.2007.02.002 10.1090/S0002-9947-05-03794-3 10.1016/0021-8693(86)90088-8 10.1017/is010005001jkt101 |
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References | 10.1016/j.jalgebra.2009.09.022_bib005 Bass (10.1016/j.jalgebra.2009.09.022_bib002) 1967; 33 10.1016/j.jalgebra.2009.09.022_bib004 Vaserstein (10.1016/j.jalgebra.2009.09.022_bib014) 1969; 79 10.1016/j.jalgebra.2009.09.022_bib001 Vaserstein (10.1016/j.jalgebra.2009.09.022_bib016) 1986; 100 Jose (10.1016/j.jalgebra.2009.09.022_bib006) 2007; 211 Suslin (10.1016/j.jalgebra.2009.09.022_bib012) 1982; vol. 966 Suslin (10.1016/j.jalgebra.2009.09.022_bib011) 1979; 43 10.1016/j.jalgebra.2009.09.022_bib009 Rao (10.1016/j.jalgebra.2009.09.022_bib007) 1988; 93 Suslin (10.1016/j.jalgebra.2009.09.022_bib010) 1977; 102 (144) Jose (10.1016/j.jalgebra.2009.09.022_bib003) 2006; 358 Suslin (10.1016/j.jalgebra.2009.09.022_bib013) 1982; vol. 114 Rao (10.1016/j.jalgebra.2009.09.022_bib008) 1994; 226 Vaserstein (10.1016/j.jalgebra.2009.09.022_bib015) 1970; 81 (123) |
References_xml | – volume: 81 (123) start-page: 307 issue: 3 year: 1970 ident: 10.1016/j.jalgebra.2009.09.022_bib015 article-title: Stabilization of unitary and orthogonal groups over a ring with involution publication-title: Mat. Sb. doi: 10.1070/SM1970v010n03ABEH001673 contributor: fullname: Vaserstein – ident: 10.1016/j.jalgebra.2009.09.022_bib005 – volume: 102 (144) start-page: 537 issue: 4 year: 1977 ident: 10.1016/j.jalgebra.2009.09.022_bib010 article-title: Stably free modules publication-title: Math. USSR Sb. contributor: fullname: Suslin – volume: 93 start-page: 609 issue: 3 year: 1988 ident: 10.1016/j.jalgebra.2009.09.022_bib007 article-title: The Bass–Quillen conjecture in dimension three but characteristic ≠2,3 via a question of A. Suslin publication-title: Invent. Math. doi: 10.1007/BF01410201 contributor: fullname: Rao – volume: 33 start-page: 59 year: 1967 ident: 10.1016/j.jalgebra.2009.09.022_bib002 article-title: Solution of the congruence subgroup problem for SLn, n⩾3 and Sp2n, n⩾2 publication-title: Inst. Publ. Math. IHES doi: 10.1007/BF02684586 contributor: fullname: Bass – volume: 211 start-page: 541 issue: 2 year: 2007 ident: 10.1016/j.jalgebra.2009.09.022_bib006 article-title: Quillen–Suslin theory revisited publication-title: J. Pure Appl. Algebra doi: 10.1016/j.jpaa.2007.02.002 contributor: fullname: Jose – volume: 43 start-page: 1394 issue: 6 year: 1979 ident: 10.1016/j.jalgebra.2009.09.022_bib011 article-title: Reciprocity laws and the stable rank of polynomial rings publication-title: Izv. Akad. Nauk SSSR Ser. Mat. contributor: fullname: Suslin – ident: 10.1016/j.jalgebra.2009.09.022_bib009 – volume: vol. 114 start-page: 187 year: 1982 ident: 10.1016/j.jalgebra.2009.09.022_bib013 article-title: Cancellation over affine varieties contributor: fullname: Suslin – volume: 226 start-page: 411 issue: 11 year: 1994 ident: 10.1016/j.jalgebra.2009.09.022_bib008 article-title: Improved stability for K1 and WMSd of a non-singular affine algebra publication-title: Asterisque contributor: fullname: Rao – volume: 358 start-page: 3097 issue: 7 year: 2006 ident: 10.1016/j.jalgebra.2009.09.022_bib003 article-title: A structure theorem for the elementary unimodular vector group publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-05-03794-3 contributor: fullname: Jose – volume: vol. 966 start-page: 334 year: 1982 ident: 10.1016/j.jalgebra.2009.09.022_bib012 article-title: Mennicke symbols and their applications in the K-theory of fields contributor: fullname: Suslin – ident: 10.1016/j.jalgebra.2009.09.022_bib001 – volume: 79 start-page: 405 issue: 121 year: 1969 ident: 10.1016/j.jalgebra.2009.09.022_bib014 article-title: On the stabilization of the general linear group over a ring publication-title: Mat. Sb. contributor: fullname: Vaserstein – volume: 100 start-page: 456 issue: 2 year: 1986 ident: 10.1016/j.jalgebra.2009.09.022_bib016 article-title: Operations on orbits of unimodular vectors publication-title: J. Algebra doi: 10.1016/0021-8693(86)90088-8 contributor: fullname: Vaserstein – ident: 10.1016/j.jalgebra.2009.09.022_bib004 doi: 10.1017/is010005001jkt101 |
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