Direct Products and the Classification of Finite Abelian Groups

  • Gregory T. Lee
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


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.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematical SciencesLakehead UniversityThunder BayCanada

Personalised recommendations