Abstract
Let be a saturated fusion system over a \py group . In this paper, we investigate the influence of the minimal subgroups in , the focal subgroup of . Our main result is that if for each cyclic subgroup of order (of order and if ) and each , extends to an automorphism of , then is normal in . We also give several applications of this result
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.