2018/08/03 by Popov, Vladimir L., Zarhin, Yuri G.
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Metric Geometry (math.MG) #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1808.01136
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 multiplications 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.