Even dimensional higher class groups of orders
نویسندگان
چکیده
Let F be a number field, and let OF denote the ring of integers in F . Let A be a finite-dimensional central simple F-algebra, and let be an OF -order in A. In this paper it is shown that the p-torsion of the even dimensional higher class group Cl2n( ) can only occur for primes p, which lie under prime ideals p, at which p is not maximal, or which divide the dimension of A.
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