M. Schacher

activity

20042018

collaborators

3 papers

math.RA2018

Subgroups of Division Rings

Mark Lewis, Murray Schacher

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 a…

math.NT2017

Norms in Central Simple Algebras

Daniel Goldstein, Murray Schacher

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 no…

math.NT2004

Polynomials which are locally reducible

R. Guralnick, M. Schacher, J. Sonn

Let $K$ be a global field and $n > 1$ an integer. We show $n$ is composite if and only if there is an irreducible polynomial $f (x) \in K [x]$ of degree $n$ which is reducible $q$ -ad…