Abstract

Let G be finite group. For [Formula: see text], define [Formula: see text]. This is called the k-th Frobenius-Schur indicator of χ. In this article we study the Frobenius-Schur indicators for Frobenius groups, p-groups, semidihedral groups and modular p-groups. Further, we use this to study the function ζGk(g) which counts the number of roots of [Formula: see text] in a finite group G.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

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.