Abstract
Let ź0 be a subplane of order q of PG(2,q3) and let G be the copy of PGL(3,q) preserving ź0. The Figueroa plane Fig(q3) is constructed by replacing some parts of the lines of PG(2,q3) external to ź0 by suitable q-subgeometries of PG(2,q3). Moreover, Fig(q3) inherits G from PG(2,q3). We show that this is the unique replacement for the external lines to ź0 yielding a projective plane of order q3 admitting G as a collineation group.
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.
