Müller Peter, Prof. Dr.

See also my profiles at [orcid.org] [Google Scholar] [MathSciNet (Mathematical Reviews)] [zbMATH (Zentralblatt)]

• A note on Galois groups of linearized polynomials
  [preprint (2023)]
• On transitive sets of derangements in primitive groups
  [preprint (2023)]
• A note on a conjecture by Ulas on polynomial substitutions
  Journal of Number Theory 205 (2019), 122-123.
  [published version] [preprint] [MR3996346] [Zbl 1436.11031]
• Decompositions of rational functions over real and complex numbers and a question about invariant curves
  Illinois Journal of Mathematics 59 (2015), no. 4, 825-838.
  [published version] [free copy] [MR3628291] [Zbl 1361.30041]
• Low-degree planar monomials in characteristic two
  with M. Zieve
  J. Algebraic Combinatorics 42 (2015), no. 3, 695-699.
  [published version] [preprint] [MR3403176] [Zbl 1343.51005]
• On the size of Kakeya sets in finite vector spaces
  with G. Kyureghyan, Qi Wang
  Electron. J. Combin. 20 (2013), no. 3.
  [published version] [preprint] [MR3104534] [Zbl 1295.11138]
• Permutation groups with a cyclic two-orbits subgroup and monodromy groups of Laurent polynomials
  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. XII (2013), 369-438.
  [published version] [preprint] [MR3114008] [Zbl 1366.20001]
• Permutation polynomials and translation planes of even order
  with U. Dempwolff
  Adv. Geom. 13 (2013), 293-313.
  [published version]
• Galois groups of multivariate Tutte polynomials
  with A. Bohn, P. Cameron
  J. Alg. Comb. 36(2) (2012), 223-230.
  [published version] [preprint]
• Translation planes of odd order via Dembowski-Ostrom polynomials
  with U. Dempwolff
  Osaka J. Math. 49 (2012), 771-794.
  [published version (open access)]
• On the non-existence of sharply transitive sets of permutations in certain finite permutation groups
  with G. Nagy
  Adv. Math. Commun. 5(2) (2011), 303 - 308.
  [published version] [preprint]
• A note on the group of projectivities of finite projective planes
  with G. Nagy
  Innov. Incidence Geom. 6-7 (2009), 291-294.
  [published version] [preprint]
• Sharply 2-transitive sets of permutations and groups of affine projectivities
  with T. Grundhöfer
  Beiträge zur Algebra und Geometrie 50(1) (2009), 143-154.
  [ published version] [preprint]
• Factorized spread sets and translation planes with large homology groups
  with U. Dempwolff
  Advances in Geometry 9(1) (2009), 111-124.
  [published version]
• Quadratic factors of f(X)-g(Y)
  with M. Kulkarni, B. Sury
  Indagationes Mathematicae 18 (2007), 233-243.
  [published version] [preprint]
• Permutation groups of prime degree, a quick proof of Burnside's theorem
  Archiv der Mathematik 85, (2005), 15-17.
  [published version] [preprint]
• The rational function analogue of a question of Schur and exceptionality of permutation representations
  with R. Guralnick, J. Saxl
  Memoirs of the American Mathematical Society, Band 162, AMS (2003).
  [published version] [preprint]
• Algebraic groups over finite fields, a quick proof of Lang's theorem
  Proc. Amer. Math. Soc. 131, 2 (2003), 369-370.
  [published version] [preprint]
• Finiteness results for Hilbert's irreducibility theorem
  Ann. Inst. Fourier 52, 4 (2002), 983-1015.
  [published version] [preprint]
• Arithmetically exceptional functions and elliptic curves
  In: D. Harbater, P. Müller, J. Thompson, H. Völklein (eds), Aspects of Galois Theory, London Math. Soc. Lecture Notes 256, Cambr. Univ. Press, 1999, 180-201.
  [published version] [preprint]
• Hilbert's irreducibility theorem for prime degree and general polynomials
  Israel J. Math. 109, (1999), 319-337.
  [published version] [preprint]
• (A_n,S_n) realizations by polynomials - on a question of Fried
  Finite Fields Appl. 4 (1998), 465-468.
  [published version] [preprint]
• Exceptional polynomials of affine type
  with R. Guralnick
  J. Algebra 194 (1997), 429-454.
  [published version] [preprint available upon request]
• A Weil-bound free proof of Schur's conjecture
  Finite Fields Appl. 3 (1997), 25-32.
  [published version] [preprint]
• An infinite series of Kronecker conjugate polynomials
  Proc. Amer. Math. Soc. 125 (1997), 1933-1940.
  [published version] [preprint available upon request]
• Kronecker conjugacy of polynomials
  Trans. Amer. Math. Soc. 350 (1998), 1823-1850.
  [published version] [preprint available upon request]
• Wan's bound for value sets of polynomials
  with T. Cusick
  In: S. Cohen and H. Niederreiter (eds), Finite Fields and Applications, London Mathematical Society Lecture Note Series 233, 69-72, Cambridge University Press, Cambridge, 1996.
  [published version] [preprint available upon request]
• Reducibility behavior of polynomials with varying coefficients
  Israel J. Math. 94 (1996), 59-91.
  [published version] [preprint available upon request]
• On a question of Davenport
  with H. Voelklein
  J. Number Theory 58 (1996), 46-54.
  [published version] [preprint]
• New examples of exceptional polynomials
  In: G. L. Mullen and P. J. Shiue (eds), Proceedings Second International conference on Finite Fields, Contemp. Maths. 168, 245-249, Amer. Math. Soc., 1994.
  [published version] [preprint available upon request]
• Primitive monodromy groups of polynomials
  In: M. Fried (ed), Recent developments in the inverse Galois problem, Contemp. Maths. 186, 385-401, Amer. Math. Soc., 1995.
  [published version] [preprint]
• On the collineation group of cyclic planes
  J. Combin. Theory Ser. A, 65(1) (1994), 60-66.
  [published version] [preprint available upon request]
• Sharply transitive linear algebraic groups
  Geom. Dedicata 45(2) (1993), 203-224.
  [published version] [preprint available upon request]
• On simple semiabelian p-adic Lie algebras
  Comm. Algebra 20(4) (1992), 1041-1049.
  [published version] [preprint available upon request]
• Transitive linear groups with large soluble normal subgroups
  Geom. Dedicata 38 (1991), 329-330.
  [published version] [preprint available upon request]

• Rational functions and finite permutation groups
  Würzburg (2016)
  [slides]
• Monodromy groups of rational functions, related group theoretic questions and computation of interesting rational functions
  Erlangen (2016)
  [slides]
• Gruppentheoretische Methoden in der Zahlentheorie und Geometrie rationaler Funktionen
  Magdeburg (2015)
  [slides]
• Mathieu groups as Galois groups
  München (2015)
  [slides]
• A combined Groebner basis and power series approach in inverse Galois theory
  Bonn (2015)
  [slides]
• Sharply transitive sets of permutations
  Vienna (2012)
  [slides]

• Another proof of Segre's Theorem about ovals
  [preprint (2013)]
• A one-parameter family of polynomials with Galois group M₂₄ over Q(t)
  [preprint (2012)] [accompanying data]
• On Ritt's polynomial decomposition theorems
  with M. Zieve
  [preprint (2008)]
• The degree 8 examples in Davenport's problem
  [note (2006)]
• Value sets of polynomials on Hilbertian fields
  [note (2005)]