@article{RSMUP_2001__106__207_0, author = {Bak, Anthony and Stepanov, Alexei}, title = {Dimension theory and nonstable $K$-theory for net groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {106}, year = {2001}, pages = {207-253}, mrnumber = {1876221}, zbl = {1072.19001}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2001__106__207_0} }
Bak, Anthony; Stepanov, Alexei. Dimension theory and nonstable $K$-theory for net groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 106 (2001) pp. 207-253. http://gdmltest.u-ga.fr/item/RSMUP_2001__106__207_0/
[Bk1] Nonabelian K-theory: The nilpotent class of K1 and general stability, K-Theory, 4 (1991), pp. 363-397. | MR 1115826 | Zbl 0741.19001
,[Bk2] K-theory of forms, Annals Math. Studies 98, Princeton Univ. Press Princeton, N.J. 1981. | MR 632404 | Zbl 0465.10013
,[Bk3] Finite completions, Unpublished.
,[Bk4] Lectures on dimension theory, algebraic homotopy theory, and nonabelian K-theory, Lecture Notes, Buenos-Aires, 1995.
,[Bk5] Dimension theory and group valued functors, preprint.
,[BkV] Structure of hyperbolic unitary groups I. Elementary subgroups, Algebra Colloquium, 7:2 (2000), pp. 159-196. | MR 1810843 | Zbl 0963.20024
- ,[BV1] The distribution of subgroups containing a group of block diagonal matrices in the general linear group over a ring, Sov. Math. - Izv. VUZ, 26:11 (1982), pp. 13-18. | Zbl 0521.20033
- ,[BV1] The distribution of subgroups in the general linear group over a commutative ring, Proc. Steklov. Inst. Math., 3 (1985), pp. 27-46. | Zbl 0653.20048
- - ,[G] On the subgroups of the general linear group GLn(R) over an associative ring, R. Russian Math. Surveys, 39:1 (1984), pp. 157-158. | MR 733962 | Zbl 0572.20031
,[H] Dimension theory and nonstable K1 of quadratic modules, K-Theory, to appear. | MR 1962906 | Zbl 1020.19001
,[M] Introduction to algebraic K-theory, Annals Math. Studies Princeton Univ. Press Princeton, N.J., 1971. | MR 349811 | Zbl 0237.18005
,[Mu] Dimension theory and nonstable K1, Algebras and Representation Theory, to appear. | MR 1890592 | Zbl 1010.19001
,[S1] On the distribution of subgroups normalized by a given subgroup, J. Sov. Math., 64 (1993), pp. 769-776. | MR 1164862 | Zbl 0790.20069
,[S2] Description of subgroups of the general linear group over a ring with the use of stability conditions, Rings and linear groups, Krasnodar Univ. Press, Krasnodar, Russian, 1988, 82-91. | MR 1206033
,[SuTu] A theorem on stabilization for Milnor's K2-functor, J. Sov. Math., 17 (1981), pp. 1804-1819. | Zbl 0461.18008
- ,[T] Hermitian Groups and K-Theory, K-Theory, 13:3 (1998), pp. 209-267. | MR 1609905 | Zbl 0899.19003
,[Tu] The Schur multiplier of the group of elementary matrices of finite order, J. Sov. Math., 17:4 (1981), pp. 2062-2067. | Zbl 0459.20042
,[Vs1] On normal subgroups of GLn over a ring, Lecture Notes Math., 854 (1981), pp. 456-465. | MR 618316 | Zbl 0464.20030
,[Vv1] Subgroups of the general linear group over a ring that contain a group of block-triangular matrices, Transl. Amer. Math. Soc., 2nd Ser., 132 (1986), pp. 103-104. | Zbl 0594.20040
,[Vv2] Structure of Chevalley groups over commutative rings, Proc. Conf. Non-associative algebras and related topics, Hiroshima, 1990 World Sci. Publ. Singapore et al. (1991), 219-335. | MR 1150262 | Zbl 0799.20042
,[VvS] Subgroups of the general linear group over rings satisfying stability conditions, Sov. Math., Izv. VUZ, 33:10 (1989), pp. 23-31. | MR 1044472 | Zbl 0702.20033
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