Abstract
We can now determine the structure of finite abelian groups. In particular, every such group is isomorphic to a direct product of cyclic groups, each having prime power order. The proof of this result is our main goal in the present chapter.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Lee, G.T. (2018). Direct Products and the Classification of Finite Abelian Groups. In: Abstract Algebra. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-77649-1_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-77649-1_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-77648-4
Online ISBN: 978-3-319-77649-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)