Abstract
In this chapter we determine the structure of the finite Abelian groups. As a starting point we use the structure of the cyclic groups described in Section 1.4. It will turn out that every finite Abelian group is the direct product of cyclic groups. In the second section of this chapter we will show that the automorphism groups of cyclic groups are examples of Abelian groups.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Kurzweil, H., Stellmacher, B. (2004). Abelian Groups. In: The Theory of Finite Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/0-387-21768-1_2
Download citation
DOI: https://doi.org/10.1007/0-387-21768-1_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2340-0
Online ISBN: 978-0-387-21768-0
eBook Packages: Springer Book Archive