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Galois Structure of K-Groups of Rings of Integers |
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| Authors: | T Chinburg M Kolster G Pappas and V Snaith |
| Institution: | (1) Department of Mathematics, University of Pennsylvania, Philadelphia, PA, 19104, U.S.A.;(2) Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada, L8S 4K1;(3) Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ, 08544, U.S.A.;(4) Department of Mathematics, University of Southampton, Highfield, Southampton, SO17 1BJ, United Kingdom |
| Abstract: | N/Kbe a Galois extension of number fields with finite Galois group G.We describe a new approach for constructing invariants of the G-module structure of the K groups of the ring of integers of N in the Grothendieck group of finitely generated projective ZG]modules. In various cases we can relate these classes, and their function field counterparts, to the root number class of Fröhlich and Cassou-Noguès. |
| Keywords: | K-Groups algebraic integers Galois structure L-functions |
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