Abstract
AbstractWe introduce a special harmoniousness called symmetric harmoniousness of groups and extend the R*‐sequenceability of abelian groups to nonabelian groups. We prove that the direct product of an R*‐sequenceable group of even order with a symmetric harmonious group of odd order is R*‐sequenceable. Examples of nonabelian R*‐sequenceable groups and nonabelian symmetric harmonious groups are given. It is shown that the nonabelian groups of order 3q (q prime) are symmetric harmonious. © 1994 John Wiley & Sons, Inc.
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.
