M.Sc Thesis | |

M.Sc Student | Akkerman Yonathan |
---|---|

Subject | Galois Groups of Compositions of Random Polynomials |

Department | Department of Mathematics |

Supervisors | ASSOCIATE PROF. Chen Meiri |

ASSOCIATE PROF. Danny Neftin | |

Full Thesis text |

In 1892 Hilbert proved his
irreducibility theorem and deduced that the generic polynomial for *S _{n}*,
that is,

In this work, we consider the
composition of a generic polynomial with quadratic polynomials in the bounded
box model. Our main result asserts that the Galois group of *f(x ^{2})*,
for a random polynomial