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Types of Root Systems in Number Fields
Authors:V L Popov  Yu G Zarhin
Institution:1.Steklov Mathematical Institute of the Russian Academy of Sciences,Moscow,Russia;2.Higher School of Economics,National Research University,Moscow,Russia;3.Department of Mathematics,Pennsylvania State University,University Park,USA
Abstract:We classify the types of root systems R in the rings of integers of number fields K such that the Weyl group W(R) lies in the group generated by Aut(K) and multiplications by the elements of K*.
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