Abstract
The existence of a biplane with parameters (121,16,2) is an open problem. Recently, it has been proved by Alavi, Daneshkhah and Praeger that the order of an automorphism group of a possible biplane D of order 14 divides 27⋅32⋅5⋅7⋅11⋅13. In this paper we show that such a biplane does not have an automorphism of order 11 or 13, and thereby establish that |Aut(D)| divides 27⋅32⋅5⋅7. Further, we study a possible action of an automorphism group of order five or seven, and some small groups of order divisible by five or seven, on a biplane with parameters (121,16,2).
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.
