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  • 1985-1989  (3)
Collection
Keywords
Publisher
Years
Year
  • 1
    Electronic Resource
    Electronic Resource
    Torsion in K 2 of fields (1987)
    Springer
    K-Theory 1 (1987), S. 5-29 
    Details
    ISSN: 1573-0514
    Keywords: Hilbert 90 ; Galois cohomology ; characteristic classes ; Severi-Brauer variety ; reduced norm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The paper presents fundamental results on the torsion subgroup of K 2 of an arbitrary field. Homomorphisms comparing K 2 of a field with K 2 of an extension field play a primary role. The reduced norm for K 2 of a finite, central, simple algebra is defined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00533985
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Algebraic K-theory and the norm-residue homomorphism (1985)
    Springer
    Journal of mathematical sciences 30 (1985), S. 2556-2611 
    Details
    ISSN: 1573-8795
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Recent results on the structure of the group K2 of a field and its connections with the Brauer group are presented. The K-groups of Severi-Brauer varieties and simple algebras are computed. A proof is given of Milnor's conjecture that for any field F and natural number n 〉 1 there is the isomorphismR n,F :K 2(F)/nK 2(F) → ∼ n Br(F). Algebrogeometric applications of the main results are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02249123
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Algebraic K-theory (1985)
    Springer
    Journal of mathematical sciences 28 (1985), S. 870-923 
    Details
    ISSN: 1573-8795
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract One gives a survey of the fundamental methods and results of the algebraic K-theory obtained in the past decade. One presents the basic constructions of the K-theory of rings and of the K-theory of exact categories. A special attention is given to the K-theory of schemes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02105457
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    Paper (German National Licenses)
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