Modular forms applied to the computational inverse Galois problem

Autor:	Bosman, Johan
Rok vydání:	2011
Předmět:	Mathematics - Number Theory 11Y40
Druh dokumentu:	Working Paper
Popis:	For each of the groups PSL2(F25), PSL2(F32), PSL2(F49), PGL2(F25), and PGL2(F27), we display the first explicitly known polynomials over Q having that group as Galois group. Each polynomial is related to a Galois representation associated to a modular form. We indicate how computations with modular Galois representations were used to obtain these polynomials. For each polynomial, we also indicate how to use Serre's conjectures to determine the modular form giving rise to the related Galois representation. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1109.6879 Zobrazit plný text záznamu View this record from Arxiv