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math.GR2023
On transitive sets of derangements in primitive groups
Peter Müller
We construct a primitive permutation action of the Steinberg triality group of degree and show that there are distinct points such that there is no deran…
math.GR2010★ 2 cited
On the non-existence of sharply transitive sets of permutations in certain finite permutation groups
Peter Müller, Gabor P. Nagy
In this short note we present a simple combinatorial trick which can be effectively applied to show the non--existence of sharply transitive sets of permutations in certain finite…
math.GR2002★ 15 cited
The rational function analogue of a question of Schur and exceptionality of permutation representations
Robert M. Guralnick, Peter Müller, Jan Saxl
In 1923 Schur considered the following problem. Let f(X) be a polynomial with integer coefficients that induces a bijection on the residue fields Z/pZ for infinitely many primes p.…