Subgroups of Division Rings

2018/06/25 by Lewis, Mark, Schacher, Murray
#12E15 #FOS: Mathematics #Primary: 16A39 #Rings and Algebras (math.RA) #Secondary: 16U60

paper · doi:10.48550/arxiv.1806.09654

Abstract

We investigate the finite subgroups that occur in the Hamiltonian quaternion algebra over the real subfield of cyclotomic fields. When possible, we investigate their distribution among the maximal orders.

Related

• About division quaternion algebras and division symbol algebras
• Class group of real cyclotomic fields
• Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds\n over the quaternions
• On Units in Orders in 2-by-2 Matrices over Quaternion Algebras with Rational Center
• Multiplicative groups of division rings