Subgroups of Division Rings
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.
math.RA↗
arXiv subjects
Murray Schacher
Publications and source records attributed to Murray Schacher.
Norms in Central Simple Algebras
Let A be a central simple algebra central over a number field K whose ring of integers is R. An outlier is an element r of R so that: r is a reduced norm of an element of A, but not the norm of an algebraic integer in A. We study properties and distribution of outliers. We end with a structure theorem about products of super singular elliptic curves over GF(p).
math.NT↗