AoPSWiki
Art of Problem Solving holds many free classes called Math Jams.
Click here for transcripts to past Math Jams.

Conjugacy class

From AoPSWiki

Revision as of 00:58, 21 May 2008 by Boy Soprano II (Talk | contribs)
(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)

A conjugacy class is part of a group.

Let G be a group. Consider the action of G on itself by inner automorphisms. The orbits of G are then called conjugacy classes.

Two subsets H and H' of G are called conjugate if there exists \alpha \in G for which H is the image of H' under \text{Int}(\alpha).

This article is a stub. Help us out by expanding it.

See also

Want to learn how to tackle those tough AMC/AIME/Olympiad algebra problems? Check out Art of Problem Solving's Intermediate Algebra by Richard Rusczyk and Mathew Crawford. Over 1600 problems!
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us