Types of Root Systems in Number Fields
- Authors: Popov V.L.1,2, Zarhin Y.G.3
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Affiliations:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Higher School of Economics
- Department of Mathematics
- Issue: Vol 98, No 3 (2018)
- Pages: 600-602
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225592
- DOI: https://doi.org/10.1134/S1064562418070207
- ID: 225592
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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*.
About the authors
V. L. Popov
Steklov Mathematical Institute of the Russian Academy of Sciences; Higher School of Economics
Author for correspondence.
Email: popovvl@mi.ras.ru
Russian Federation, Moscow, 119991; Moscow, 101000
Yu. G. Zarhin
Department of Mathematics
Email: popovvl@mi.ras.ru
United States, University Park, PA, 16802
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