Abstract
This chapter discusses the applications of the theory of characters. A simple inspection of the character table of a finite group, present in the chapter, can reveal the presence of a normal subgroup. There is also a nontrivial normal subgroup. An inspection of the character table of a group G gives at once a normal subgroup, which is the kernel of an irreducible representation. A permutation group is transitive if for every pair of symbols there is a permutation that takes any one of them into the other. The chapter also presents a few results from the theory of characters.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.