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Regular version of the site

Working paper

Root systems in number fields

arxiv.org. math. Cornell University, 2018. No. 1808.01136.
Popov V. L., Zarhin Y. G.
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 $\mathcal L(K)$ generated by ${\rm Aut}  (K)$ and multipli\-ca\-tions by the elements of $K^*$. We also classify the Weyl groups of roots systems of rank $n$ which are isomorphic to a subgroup of $\mathcal L(K)$ for a number field $K$ of degree $n$ over $\mathbb Q$.