Abstract
Abstract In [J. Algebra 344 (2011), 205–228], a conjecture of J. G. Thompson for PSL n (q) was proved. It was shown that every finite group G with the property Z(G) = 1 and cs(G) = cs(PSL n (q)) is isomorphic to PSL n (q) where cs(G) is the set of conjugacy class sizes of G. In this article we improve this result for PSL2(q). In fact we prove that if cs(G) = cs(PSL2(q)), for q > 3, then G ≅ PSL2(q) × A, where A is abelian. Our proof does not depend on the classification of finite simple groups.
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.
