Zobrazeno 1 - 10
of 170
pro vyhledávání: '"Barth, Dominik A."'
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:
Maisel, Franziska, Smolle, Maria A., Mollnar, Stefanie, Riedl, Jakob M., Barth, Dominik A., Seles, Maximilian, Terbuch, Angelika, Rossmann, Christopher H., Eisner, Florian, Mannweiler, Sebastian, Hutterer, Georg, Zigeuner, Richard, Pummer, Karl, Smolle-Jüttner, Freyja-Maria, Lindenmann, Jörg, Stotz, Michael, Gerger, Armin, Jost, Philipp J., Bauernhofer, Thomas, Pichler, Martin, Posch, Florian
Publikováno v:
In Clinical Genitourinary Cancer August 2022 20(4):344-353
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
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
Autor:
Barth, Dominik, Wenz, Andreas
Publikováno v:
In Journal of Symbolic Computation January-February 2022 108:17-22
Autor:
Barth, Dominik
We use M\"uller and Nagy's method of contradicting subsets to give a new proof for the non-existence of sharply $2$-transitive subsets of the symplectic groups $\mathrm{Sp}(2d,2)$ in their doubly-transitive actions of degrees $2^{2d-1}\pm 2^{d-1}$. T
Externí odkaz:
http://arxiv.org/abs/1602.05164