AoPSWiki
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!

Cyclic group

From AoPSWiki

Revision as of 17:37, 10 May 2008 by Boy Soprano II (Talk | contribs)
(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)

A cyclic group G is a group generated by a single element. Some sources add the stipluation that G be finite. The term monogenous group, however, generally means any group generated by a single element. The distinction is somewhat small, as all infinite monogenous groups are isomorphic to the integers \mathbb{Z} under addition. All other cyclic groups are of the form \mathbb{Z}/n\mathbb{Z}, for some positive integer n.

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

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