Abstract
The notion of an action plays an important role in the theory of finite groups. The first section of this chapter introduces the basic ideas and results concerning group actions. In the other two sections the action on cosets is used to prove important theorems of Sylow, Schur-Zassenhaus and Gaschütz.
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). Action and Conjugation. In: The Theory of Finite Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/0-387-21768-1_3
Download citation
DOI: https://doi.org/10.1007/0-387-21768-1_3
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