Genuinely nonabelian partial difference sets

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Cites Work

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Automorphisms of strongly regular graphs with applications to partial difference sets
Partial difference sets
Sub-difference sets of Hadamard difference sets
A generalized quadrangle with an automorphism group acting regularly on the points
Finite generalized quadrangles
Rational G-matrices with rational eigenvalues
Construction of strongly regular graphs, two-weight codes and partial geometries by finite fields
Regular groups on generalized quadrangles and nonabelian difference sets with multiplier -1
Strongly regular graphs
On subsets of partial difference sets
A survey of partial difference sets
Non-abelian Hadamard difference sets
Switching of edges in strongly regular graphs. I: A family of partial difference sets on 100 vertices
The point regular automorphism groups of the Payne derived quadrangle of $W(q)$
Partial difference sets in $C_{2^n} \times C_{2^n}$
A construction of a partial difference set in the extraspecial groups of order $p^3$ with exponent $p^2$
Point regular groups of automorphisms of generalised quadrangles
Strongly regular graphs with (-1, 1, 0) adjacency matrix having eigenvalue 3
On the structure of generalized quadrangles
Strongly regular graphs, partial geometries and partially balanced designs
Finite permutation groups of rank 3
On generalized quadrangles with a group of automorphisms acting regularly on the point set, difference sets with $- 1$ as multiplier and a conjecture of Ghinelli
The Geometry of Two-Weight Codes
On Orthogonal Matrices
Strongly Regular Graphs
Graphs with Maximal Even Girth
Solvability of a Class of Rank 3 Permutation Groups
Restrictions on parameters of partial difference sets in nonabelian groups
Partial difference sets and amorphic Cayley schemes in non-abelian $2$-groups

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