Abstract
We use the following notation and terminology. All groups are written additively. A group is said to be periodic if all its elements are of finite order. As usual, Z stands for the additive group of the integers. The kernel (image) of a homomorphism f is denoted by Ker f (Im f). If H is a normal subgroup of G we write H ⊲ G.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1964 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Arkowitz, M., Curjel, C.R. (1964). Groups of finite rank. In: Groups of Homotopy Classes. Lecture Notes in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-15913-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-662-15913-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-15915-6
Online ISBN: 978-3-662-15913-2
eBook Packages: Springer Book Archive