Abstract

We determine the Smith normal forms of the incidence matrices of points and projective ( r − 1 ) (r-1) -dimensional subspaces of PG ⁡ ( n , q ) \operatorname {PG}(n,q) and of the incidence matrices of points and r r -dimensional affine subspaces of AG ⁡ ( n , q ) \operatorname {AG}(n,q) for all n n , r r , and arbitrary prime power q q .

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 call

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.