On Sylow Subgroups of Abelian Affine Difference Sets

• Main Authors: Garciano, Agnes, Hiramine, Yutaka
• Format: text
• Published: Archīum Ateneo 2001
• Subjects: affine difference sets; projective planes; collineation groups; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/91; https://link.springer.com/article/10.1023%2FA%3A1008312921730
• Institution: Ateneo De Manila University

An n-subsetD of a group G of order n2−1 is called an affine difference set of G relative to a normal subgroup N of G of order n−1 if the list of differences d1d2-1 (d1, d2 ∈ D, d1 ≠ d2) contain search element of G-N exactly once and no element of N. It is a well-known conjecture that if D is an aff...