Results 21 to 30 of about 497 (36)

Steiner t-designs for large t

open access: yes, 2008
One of the most central and long-standing open questions in combinatorial design theory concerns the existence of Steiner t-designs for large values of t. Although in his classical 1987 paper, L.
A. Betten   +40 more
core   +2 more sources

Block-Transitive Designs in Affine Spaces

open access: yes, 2009
This paper deals with block-transitive $t$-$(v,k,\lambda)$ designs in affine spaces for large $t$, with a focus on the important index $\lambda=1$ case.
A. Delandtsheer   +25 more
core   +2 more sources

Neighbour transitivity on codes in Hamming graphs

open access: yes, 2011
We consider a \emph{code} to be a subset of the vertex set of a \emph{Hamming graph}. In this setting a \emph{neighbour} of the code is a vertex which differs in exactly one entry from some codeword.
Cheryl E. Praeger   +8 more
core   +1 more source

Nilpotent Singer groups [PDF]

open access: yes, 2006
Let $N$ be a nilpotent group normal in a group $G$. Suppose that $G$ acts transitively upon the points of a finite non-Desarguesian projective plane $\mathcal{P}$.
Gill, Nick
core   +2 more sources

Linear spaces with significant characteristic prime

open access: yes, 2006
Let $G$ be a group with socle a simple group of Lie type defined over the finite field with $q$ elements where $q$ is a power of the prime $p$. Suppose that $G$ acts transitively upon the lines of a linear space $\mathcal{S}$. We show that if $p$ is {\it
Gill, Nick
core   +1 more source

On self-dual MRD codes

open access: yes, 2015
We determine the automorphism group of Gabidulin codes of full length and characterise when these codes are equivalent to self-dual codes.Comment: Improved exposition according to the referees ...
Nebe, Gabriele, Willems, Wolfgang
core   +1 more source

Classification of flag-transitive Steiner quadruple systems

open access: yes, 2001
A Steiner quadruple system of order v is a 3-(v,4,1) design, and will be denoted SQS(v). Using the classification of finite 2-transitive permutation groups all SQS(v) with a flag-transitive automorphism group are completely classified, thus solving the ...
Block   +15 more
core   +2 more sources

Symmetries of quasiplatonic Riemann surfaces [PDF]

open access: yes, 2014
We state and prove a corrected version of a theorem of Singerman, which relates the existence of symmetries (anticonformal involutions) of a quasiplatonic Riemann surface $\mathcal S$ (one uniformised by a normal subgroup $N$ of finite index in a ...
Jones, Gareth A.   +2 more
core  

Unstable maps

open access: yes, 2018
A map which is non-orientable or has non-empty boundary has a canonical double cover which is orientable and has empty boundary. The map is called stable if every automorphism of this cover is a lift of an automorphism of the map.
Jones, Gareth A.
core  

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