Definition:Galois Group of Polynomial

This page is about Galois Group of Polynomial. For other uses, see Galois Group.

Definition

Let $P$ be a polynomial.

The Galois group of $P$ is the symmetry group of the roots of $P$.

Also see

• Results about Galois groups of polynomials can be found here.

Source of Name

This entry was named for Évariste Galois.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Galois group
• 2008: David Joyner: Adventures in Group Theory (2nd ed.) ... (previous) ... (next): Where to begin...
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Galois group