The Hermitian Class Group |
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| Authors: | M V REYES SANCHEZ P VERHAEGHE and A VERSCHOREN |
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| Institution: | (1) Departamento de Matematica Fundamental, Universidad de La Laguna, La Laguna, Spain;(2) Department of Mathematics and Computer Science, University of Antwerp, RUCA, Antwerp, Belgium |
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| Abstract: | In this note, we study the Hermitian class group of orders over a Krulldomain and derive some exact sequences, permitting to calculate it inconcrete situations.In particular, we will show the Hermitian class group of a divisorialAzumaya algebra to be independent of its involution. |
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| Keywords: | class group Picard group Azumaya algebra Krull domain |
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