Types of Root Systems in Number Fields
- Authors: Popov V.L.1,2, Zarhin Y.G.3
 - 
							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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