Relative difference sets and quasiregular collineation groups

DOI10.1016/S0097-3165(75)80003-3zbMath0313.50014MaRDI QIDQ1220257

Michael J. Ganley, Spence, Edward

Publication date: 1975

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Combinatorial structures in finite projective spaces (51E20) Abelian groups (20K99)

Related Items (25)

Unitals in shift planes of odd order ⋮ On the 2-ranks of a class of unitals ⋮ On projective planes admitting elations and homologies ⋮ Affine difference sets and related factor sets ⋮ Further study of planar functions in characteristic two ⋮ Low-degree planar monomials in characteristic two ⋮ Characterizations of a class of planar functions over finite fields ⋮ On a generalization of planar functions ⋮ Modified planar functions and their components ⋮ Affine difference sets of even order ⋮ A note on commutative semifield planes ⋮ Planar functions over fields of characteristic two ⋮ On quasiregular collineation groups of projective planes ⋮ ‐Relative Difference Sets and Their Representations ⋮ Some planar monomials in characteristic 2 ⋮ On a paper of Dembrowski and Ostrom ⋮ Proof of the prime power conjecture for projective planes of order 𝑛 with abelian collineation groups of order 𝑛² ⋮ Dembowski-Ostrom polynomials and reversed Dickson polynomials ⋮ Direct product difference sets ⋮ A family of planar binomials in characteristic 2 ⋮ Low-degree planar polynomials over finite fields of characteristic two ⋮ Exceptional planar polynomials ⋮ Cayley Graphs of Diameter Two from Difference Sets ⋮ Planar polynomials arising from linearized polynomials ⋮ A group extensions approach to affine relative difference sets of even order

Cites Work

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• On quasiregular collineation groups
• Quasiregular collineation groups of finite projective planes
• The orbit structure of collineation groups of finite projective planes
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• Partial Difference Sets
• On relative difference sets and projective planes
• Relative difference sets

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