Friends and strangers walking on graphs

C Defant, N Kravitz - arXiv preprint arXiv:2009.05040, 2020 - arxiv.org
Given graphs $ X $ and $ Y $ with vertex sets $ V (X) $ and $ V (Y) $ of the same cardinality,
we define a graph $\mathsf {FS}(X, Y) $ whose vertex set consists of all bijections $\sigma: V …

Conway groupoids and completely transitive codes

N Gill, NI Gillespie, J Semeraro - Combinatorica, 2018 - Springer
Abstract To each supersimple 2-(n, 4, λ) design D one associates a 'Conway groupoid',
which may be thought of as a natural generalisation of Conway's Mathieu groupoid M 13 …

Conway groupoids, regular two-graphs and supersimple designs

N Gill, NI Gillespie, CE Praeger, J Semeraro - arXiv preprint arXiv …, 2015 - arxiv.org
A $2-(n, 4,\lambda) $ design $(\Omega,\mathcal {B}) $ is said to be supersimple if distinct
lines intersect in at most two points. From such a design, one can construct a certain subset …

[PDF][PDF] Representaciones de grupos mediante la utilización de diseños súper simples

J Ramírez-Jiménez - scholar.archive.org
Resumen En 1997 John Conway publicó un artículo en el cual describía mediante un
algoritmo tipo “rompecabezas”, definido sobre el plano proyectivo sobre el cuerpo de tres …

Groups Obtained from Supersimple Designs

N Gill, J Ramírez - arXiv preprint arXiv:1906.07581, 2019 - arxiv.org
We contribute towards the classification programme for Conway groupoids associated to a
$2-(n, 4,\lambda) $ design. Our main results improve the known bounds for a hole stabilizer …

[PDF][PDF] Some examples related to Conway Groupoids

B Fairbairn - 2016 - eprints.bbk.ac.uk
BIROn - Birkbeck Institutional Research Online Page 1 BIROn - Birkbeck Institutional Research
Online Fairbairn, Ben (2016) Some examples related to Conway Groupoids. In: Finite Simple …

[PDF][PDF] Some examples related to Conway Groupoids and their generalisations

B Fairbairn - 2016 - eprints.bbk.ac.uk
BIROn - Birkbeck Institutional Research Online Page 1 BIROn - Birkbeck Institutional
Research Online Fairbairn, Ben (2016) Some examples related to Conway Groupoids and …