AbstractIt is known that if G is a group of order 4N2, and G contains N mutually disjoint subgroups of order 2N, then the nonidentity elements of these subgroups form a difference set in G. Gluck recently discovered a nonabelian example with N = 4 and showed it to be the only case with N = 4 and G not elementary abelian. We show here that the only examples with N > 4 are elementary abelian 2-groups
Nontrivial difference sets in groups of order a power of 2 are part of the family of difference sets...
Examples of difference sets are given for large classes of abelian groups of order 22d + 2. This fil...
In this paper we continue the study of p - groups G of square order \(p^{2n}\) and investigate the e...
AbstractIt is known that if G is a group of order 4N2, and G contains N mutually disjoint subgroups ...
AbstractIn this article, we show that a (2n,2,2n,n) relative difference set in a group G of order 4n...
In this paper we continue the study of p-groups G of Square order p^2n and investigate the existence...
Motivated by a connection between semi-regular relative difference sets and mutually unbiased bases,...
AbstractMotivated by a connection between semi-regular relative difference sets and mutually unbiase...
Examples of difference sets are given for large classes of abelian groups of order 22d + 2. This fil...
AbstractKraemer has shown that every abelian group of order 22d + 2 with exponent less than 22d + 3 ...
We prove the following theorems. Theorem A. Let G be a group of order 160 satisfying one of the fol...
AbstractWe present a recursive construction for difference sets which unifies the Hadamard, McFarlan...
In this note, we consider relative difference sets with the parameter (m, 2, m - 1, m-2/2) in a grou...
The existence of difference sets in abelian 2-groups is a recently settled problem [5]; this note ex...
AbstractIn this note, we define the class of finite groups of Suzuki type, which are non-abelian gro...
Nontrivial difference sets in groups of order a power of 2 are part of the family of difference sets...
Examples of difference sets are given for large classes of abelian groups of order 22d + 2. This fil...
In this paper we continue the study of p - groups G of square order \(p^{2n}\) and investigate the e...
AbstractIt is known that if G is a group of order 4N2, and G contains N mutually disjoint subgroups ...
AbstractIn this article, we show that a (2n,2,2n,n) relative difference set in a group G of order 4n...
In this paper we continue the study of p-groups G of Square order p^2n and investigate the existence...
Motivated by a connection between semi-regular relative difference sets and mutually unbiased bases,...
AbstractMotivated by a connection between semi-regular relative difference sets and mutually unbiase...
Examples of difference sets are given for large classes of abelian groups of order 22d + 2. This fil...
AbstractKraemer has shown that every abelian group of order 22d + 2 with exponent less than 22d + 3 ...
We prove the following theorems. Theorem A. Let G be a group of order 160 satisfying one of the fol...
AbstractWe present a recursive construction for difference sets which unifies the Hadamard, McFarlan...
In this note, we consider relative difference sets with the parameter (m, 2, m - 1, m-2/2) in a grou...
The existence of difference sets in abelian 2-groups is a recently settled problem [5]; this note ex...
AbstractIn this note, we define the class of finite groups of Suzuki type, which are non-abelian gro...
Nontrivial difference sets in groups of order a power of 2 are part of the family of difference sets...
Examples of difference sets are given for large classes of abelian groups of order 22d + 2. This fil...
In this paper we continue the study of p - groups G of square order \(p^{2n}\) and investigate the e...
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