Abstract
In this chapter, we study abelian groups. We will write abelian groups using additive notation. One of our main goals is to provide a complete solution to the classification problem for finitely-generated abelian groups. That is, we will describe all finitely-generated abelian groups up to isomorphism.
This is a preview of subscription content, log in via an institution to check access.
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
© 2012 Steven Roman
About this chapter
Cite this chapter
Roman, S. (2012). Abelian Groups. In: Fundamentals of Group Theory. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8301-6_13
Download citation
DOI: https://doi.org/10.1007/978-0-8176-8301-6_13
Published:
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8300-9
Online ISBN: 978-0-8176-8301-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)