38 citations · 71 across the 4 of their papers we have counts for
4 papers
A one--parameter family of polynomials with Galois group M24 over Q(t)
Peter Mueller
Granboulan computed an explicit polynomial whose Galois group over the rational function field Q(t) is the Mathieu group M24. By a result of Malle and Matzat, it was known before t…
On Ritt's polynomial decomposition theorems
Michael E. Zieve, Peter Mueller
Ritt studied the functional decomposition of a univariate complex polynomial f into prime (indecomposable) polynomials, f = u_1 o u_2 o ... o u_r. His main achievement was a proced…
Permutation Groups with a Cyclic Two-Orbits Subgroup and Monodromy Groups of Siegel Functions
Peter Mueller
We classify the finite primitive permutation groups which have a cyclic subgroup with two orbits. This extends classical topics in permutation group theory, and has arithmetic cons…
Finiteness Results for Hilbert's Irreducibility Theorem
Peter Müller
Let f(t,X) be an irreducible polynomial over the field of rational functions k(t), where k is a number field. Let O be the ring of integers of k. Hilbert's irreducibility theorem g…