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The Group Ring ofSL2(p2) over thep-adic Integers

✍ Scribed by Gabriele Nebe

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
174 KB
Volume
210
Category
Article
ISSN
0021-8693

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✦ Synopsis

This paper describes the ring-theoretic structure of the group rings of SL p 2 over the p-adic integers.

πŸ“œ SIMILAR VOLUMES

The Group Ring of SL2(pf) over p-adic In
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Let p ) 2 be a prime, R s β€«ήšβ€¬ , K s ‫ޑ‬ , and G s SL p . The p p y1 p p y1 2 group ring RG is calculated nearly up to Morita equivalence: The projections of RG into the simple components of KG are given explicitly and the endomorphism rings and homomorphism bimodules between the projective indecompo

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Let KΓ‚k be an extension of degree p 2 over a p-adic number field k with the Galois group G. We study the Galois module structure of the ring O K of integers in K. We determine conditions under which the invariant factors of Kummer orders O K t in O K of two extensions coincide with each other and gi

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In this paper we define 2-adic cyclotomic elements in K-theory and e tale cohomology of the integers. We construct a comparison map which sends the 2-adic elements in K-theory onto 2-adic elements in cohomology. Using calculation of 2-adic K-theory of the integers due to Voevodsky, Rognes and Weibel