Results 1 to 10 of about 474 (166)
Milnor–Witt K-groups of local rings
Advances in Mathematics, 2016 We introduce Milnor-Witt $K$-groups of local rings and show that the $n$th Milnor-Witt $K$-group of a local ring $R$ which contains an infinite field of characteristic not $2$ is the pull-back of the $n$th power of the fundamental ideal in the Witt ring of $R$ and the $n$th Milnor $K$-group of $R$ over the $n$th Milnor $K$-group of $R$ modulo $2$. This
Stefan Gille
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Shifted Witt groups of semi-local rings [PDF]
Manuscripta Mathematica, 2005 ISSN:1432 ...
Paul Balmer
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SymplecticK 2 of Laurent polynomials, associated Kac-Moody groups and Witt rings
Mathematische Zeitschrift, 1991 In this note, we will show the following theorems. Here F denotes an arbitrary field, \(F^*\) the multiplicative group of F, and \(F[\xi,\xi^{-1}]\) the ring of Laurent polynomials in \(\xi\) with coefficients in F. Let W(F) be the Witt ring over F with the maximal ideal I(F) consisting of classes with even rank.
Jun Morita
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On the presentation of the Grothendieck–Witt group of symmetric bilinear forms over local rings
Mathematische ZeitschriftAbstractWe prove a chain lemma for inner product spaces over commutative local rings R with residue field other than $$\mathbb {F}_2$$ F 2 and use this to show that the usual presentation of the Grothendieck–Witt group of symmetric bilinear forms over R as ...
Marco Schlichting
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Structure of Witt Rings and Quotients of Abelian Group Rings [PDF]
American Journal of Mathematics, 1972 In this paper we give a detailed exposition of some of the results announced in [18]. The primary motivation for this work is Witt's observation [31, Satz 7] that if F is a field of characteristic #72, his ring 1V(F) of classes of anisotropic quadratic forms may be written as Z[G]/K where G is an abelian group of exponent two (actually G =F*/F*2), Z[G]
Knebusch, Manfred +2 more
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On the Cohomology of Galois Groups Determined by Witt Rings
Advances in Mathematics, 1999 Let F denote a field of characteristic different from two. In this paper we describe the mod 2 cohomology of a Galois group which is determined by the Witt ring WF.
Karagueuzian, B., Adem, A., Minac, J.
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A WITT–BURNSIDE RING ATTACHED TO A PRO-DIHEDRAL GROUP [PDF]
International Journal of Number Theory, 2013 The ring of p-typical Witt vectors is an indispensable tool in number theory and mixed characteristic commutative algebra. Witt vectors were significantly generalized by Dress and Siebeneicher by producing for any profinite group G, a ring-valued functor WG. The p-typical Witt vectors are recovered as the example G = Zp.
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Chow–Witt rings of classifying spaces for symplectic and special linear groups [PDF]
Journal of Topology, 2019 51 pages, small revisions, accepted for publication in Journal of ...
Hornbostel, Jens, Wendt, Matthias
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Characteristic 4 Witt Rings that are the Product of Group Rings
Rocky Mountain Journal of Mathematics, 1994 Let \(R\) be a Witt ring in the sense of \textit{M. Marshall} and \textit{J. Yucas} [Pac. J. Math. 95, 411-425 (1981; Zbl 0459.10013)]. In this paper the author deals with the case that \(R\) is of characteristic 4. In analogy to a result on characteristic 2 proved by \textit{M. Marshall} [Rocky Mt. J. Math.
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Decomposition of the Witt–Burnside ring and Burnside ring of an abelian profinite group
Advances in Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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