All Questions
Tagged with combinatorial-designs gr.group-theory
4
questions
11
votes
2
answers
652
views
$\mathbb Z/p\mathbb Z=A\cup(A-A)$?
$\newcommand{\Z}{\mathbb Z/p\mathbb Z}$
Can one partition a group of prime order as $A\cup(A-A)$ where $A$ is a subset of the group, $A-A$ is the set of all differences $a'-a''$ with $a',a''\in A$, ...
- 22.6k
2
votes
1
answer
96
views
Relative difference sets?
Do you know how to find order of known groups with RDS or without? Or Known groups which have RDS or not? If there is a references to survey all researches?
user91523
1
vote
1
answer
448
views
The Symmetry of Steiner System S(5,8,24)
The group of automorphisms of S(5,8,24), M_{24}, is 5-transitive.
Other than Symmetric groups are there any other 5-transitive groups?
If not, would it be correct to say S(5,8,24) is the most ...
- 25
0
votes
1
answer
111
views
All $2$-designs arising from the action of the affine linear group on the field of prime order
Let $p$ be a prime and $\mathbb{Z}_p$ denote as usual the field of order $p$. Let $AL(p)$ be the affine linear group $\{x\mapsto ax+b \;|\; a\in \mathbb{Z}_p\setminus \{0\}, b\in\mathbb{Z}_p\}$. For a ...
- 3,708