Abstract
We study finite groups with rational valued non-linear characters and obtain the structure of these types of groups with derived subgroup of prime order. In particular, in the case of the size of derived subgroup of a group is two we conclude that this group is rational if and only if the group is a direct product of an extraspecial 2-group with an elementary abelian 2-group.
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 callDisclaimer: 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.
