Meaning of Galois group | Babel Free

Definitions

The automorphism group of a Galois extension.

Equivalents

Examples

“In this section, we show how to determine the Galois group and the roots of an irreducible polynomial of degree 2, 3, or 4.”

“Let B be a Galois algebra over R with Galois group G, C the center of B, and K#61;#92;#123;g#92;inG#92;vertg(c)#61;c#92;#92;mathsf#123;for#92;each#125;#92;c#92;inC#92;#125;. A natural question is whether B is a central Galois algebra with Galois group K.”

“Our work actually gives an algorithm for computing Galois groups of polynomials f(X)#92;in#92;Q#91;X#93;:”

CEFR level