Abstract
Let G be a group. Write G⁎=G﹨{1}.An element x of G⁎ will be called deficient if 〈x〉<CG(x) and it will be called non-deficient if 〈x〉=CG(x).If x∈G is deficient (non-deficient), then the conjugacy class xG of x in G will be also called deficient (non-deficient).Let j be a non-negative integer. We shall say that the group G has defect j, denoted by G∈D(j) or by the phrase “G is a D(j)-group”, if exactly j non-trivial conjugacy classes of G are deficient.
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.
