Abstract
Let Z(U(Z[G])) denote the group of central units in the integral group ring Z[G] of a finite group G. A bound on the index of the subgroup generated by a virtual basis in Z(U(Z[G])) is computed for a class of strongly monomial groups. The result is illustrated with application to the groups of order pn, p prime, n≤4. The rank of Z(U(Z[G])) and the Wedderburn decomposition of the rational group algebra of these p-groups have also been obtained.
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.