q-deformation of Witt-Burnside rings
نویسندگان
چکیده
منابع مشابه
20 06 q - DEFORMATION OF WITT - BURNSIDE RINGS
In this paper, we construct a q-deformation of the Witt-Burnside ring of a profinite group over a commutative ring, where q ranges over the ring of integers. When q = 1, this coincides with the Witt-Burnside ring introduced by A. Dress and C. Siebeneicher (Adv. Math. 70 (1988), 87-132). To achieve our goal we first show that there exists a q-deformation of the necklace ring of a profinite group...
متن کامل. R A ] 1 6 N ov 2 00 4 q - DEFORMATION OF WITT - BURNSIDE RINGS
In this paper we construct a q-deformation of the Witt-Burnside ring of a profinite group over a commutative ring, where q ranges over the ring of integers. When q = 1, this coincides with the Witt-Burnside ring introduced by A. To achieve our goal we show that there exists a q-deformation of the necklace ring of a profinite group over a commutative ring. As in the classical case, i.e., the cas...
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The p-typical Witt vectors are a ubiquitous object in algebra and number theory. They arise as a functorial construction that takes perfect fields k of prime characteristic p > 0 to p-adically complete discrete valuation rings of characteristic 0 with residue field k and are universal in that sense. A. Dress and C. Siebeneicher generalized this construction by producing a functor WG attached to...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2007
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-007-0119-2