Results 11 to 20 of about 495 (36)

Graphs having no quantum symmetry [PDF]

, 2006
We consider circulant graphs having $p$ vertices, with $p$ prime. To any such graph we associate a certain number $k$, that we call type of the graph. We prove that for $p>>k$ the graph has no quantum symmetry, in the sense that the quantum automorphism ...
Banica, Teodor, Bichon, Julien, Chenevier, Gaetan   +2 more
core   +4 more sources

The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three [PDF]

, 2007
We show how to calculate the Euler characteristic of a local system associated to an irreducible representation of the symplectic group of genus 3 on the moduli space of curves of genus 3 and the moduli space of principally polarized abelian varieties of
Bergström, Bertin, Bini, Deligne, Deligne, Faber, Gerard van der Geer, Getzler, Getzler, Hain, Illusie, Jonas Bergström, Lepowsky   +12 more
core   +3 more sources

Diagonally Neighbour Transitive Codes and Frequency Permutation Arrays [PDF]

, 2014
Constant composition codes have been proposed as suitable coding schemes to solve the narrow band and impulse noise problems associated with powerline communication.
A. Neumaier, A.E. Brouwer, Cheryl E. Praeger, D. Slepian, D. Smith, I. Blake, I.F. Blake, J.M. Goethals, M. Giudici, N. Gillespie, N. Pavlidou, Neil I. Gillespie, P. Dukes, P. Frankl, P. Keevash, R.F. Bailey, S. Huczynska, V. Pless, W. Chu, W. Chu   +19 more
core   +4 more sources

Abelian Carter subgroups in finite permutation groups

, 2013
We show that a finite permutation group containing a regular abelian self-normalizing subgroup is soluble.Comment: 6 ...
Jabara, Enrico, Spiga, Pablo
core   +1 more source

Steiner t-designs for large t

, 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, A. Delandtsheer, D. Gorenstein, D. Livingstone, D. Pei, D.G. Higman, D.K. Ray-Chaudhuri, D.R. Hughes, D.R. Stinson, D.R. Stinson, F. Buekenhout, F. Buekenhout, G.-C. Rota, H. Lüneburg, H. Wielandt, J. Saxl, J. Tits, J.D. Dixon, J.H. Conway, L. Teirlinck, M. Hall Jr., M. Huber, M. Huber, M. Huber, M. Huber, M.W. Liebeck, M.W. Liebeck, N.D. Tuan, P. Dembowski, P. Kaski, P.J. Cameron, P.J. Cameron, P.J. Cameron, P.J. Cameron, P.J. Cameron, R.A. Fisher, R.E. Block, T.. Beth, W.C. Huffman, W.M. Kantor, W.M. Kantor   +40 more
core   +2 more sources

Classification of flag-transitive Steiner quadruple systems

, 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, Buekenhout, Conway, Curtis, Delandtsheer, Delandtsheer, Delandtsheer, Hanani, Hering, Huppert, Höchsmann, Kantor, Kleidman, Lüneburg, Michael Huber, Zsigmondy   +15 more
core   +2 more sources

Linear spaces with significant characteristic prime

, 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

Simplicial complexes defined on groups

Open Mathematics
This study makes some preliminary observations towards an extension of current work on graphs defined on groups to simplicial complexes. I define a variety of simplicial complexes on a group, which are preserved by automorphisms of the group, and in many
Cameron Peter J.
doaj   +1 more source

Existence and Classification of 3‐Regular Symmetric Graphs of Order 6pq With Distinct Primes p and q

Journal of Mathematics, Volume 2025, Issue 1, 2025.
A graph Σ is said symmetric if its automorphism group acts transitively on the set of its arc. Let p < q be two distinct prime integers. This paper demonstrates that connected 3‐regular symmetric graphs of order 6pq exist if and only if the pair (p, q) belongs to the set (5, 19), (19, 37), (37, 73), which up to isomorphism there are nine sporadic ones,
Mehdi Alaeiyan, Laleh Pourmokhtar, Mohammad Kazem Hosseinipoor, Ammar Alsinai   +3 more
wiley   +1 more source

Nilpotent Singer groups [PDF]

, 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