Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Wenz, Andreas"'
Autor:
Wenz, Andreas
We compute genus-0 Belyi maps with prescribed monodromy and strictly verify the computed results. Among the computed examples are almost simple primitive groups that satisfy the rational rigidity criterion yielding polynomials with prescribed Galois
Autor:
Barth, Dominik, Wenz, Andreas
We describe the explicit computation of a family of 4-branch-point rational functions of degree 63 with monodromy group PSL(6,2). This, in particular, negatively answers a question by J. K\"onig whether there exists a such a function with rational co
Externí odkaz:
http://arxiv.org/abs/2004.10997
Autor:
Barth, Dominik, Wenz, Andreas
In 2013 Elkies described a method for bounding the transitivity degree of Galois groups. Our goal is to give additional applications of this technique, in particular verifying that the monodromy group of the degree-276 cover defined over a degree-12
Externí odkaz:
http://arxiv.org/abs/1905.05624
Autor:
Barth, Dominik, Wenz, Andreas
We present a one-parameter family of degree 36 polynomials with the symplectic 2-transitive group PSp(6,2) as Galois group over Q(t).
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1809.09856
Publikováno v:
Journal of Symbolic Computation 101C (2020) pp. 352-366
We propose an approach for the computation of multi-parameter families of Galois extensions with prescribed ramification type. More precisely, we combine existing deformation and interpolation techniques with recently developed strong tools for the c
Externí odkaz:
http://arxiv.org/abs/1803.08778
Autor:
Barth, Dominik, Wenz, Andreas
We present a genus 0 Belyi map for the sporadic Janko group J2 of degree 280. As a consequence we obtain a polynomial having Aut(J2) as a Galois group over K(t) where K is a number field of degree 10.
Comment: 3 pages, the data for the Belyi map
Comment: 3 pages, the data for the Belyi map
Externí odkaz:
http://arxiv.org/abs/1712.05268
Autor:
Barth, Dominik, Wenz, Andreas
We present all Belyi maps P^1(C) -> P^1(C) having almost simple primitive monodromy groups (not isomorphic to A_n or S_n) containing rigid and rational generating triples of degree between 50 and 250. This also leads to new polynomials having almost
Externí odkaz:
http://arxiv.org/abs/1703.02848
Autor:
Barth, Dominik, Wenz, Andreas
Publikováno v:
In Journal of Symbolic Computation January-February 2022 108:17-22
Autor:
Barth, Dominik, Wenz, Andreas
We compute explicit polynomials having the sporadic Higman-Sims group HS and its automorphism group Aut(HS) as Galois groups over the rational function field Q(t).
Comment: 5 pages, 1 figure; added another example
Comment: 5 pages, 1 figure; added another example
Externí odkaz:
http://arxiv.org/abs/1611.04314