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arXiv · 1906.07581

Groups Obtained from $2-(n,4,3)$ Supersimple Designs

Nick Gill·Jeremías Ramírez
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Abstract

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 to be primitive, or to contain the alternating group, ${\rm Alt}(n-1)$. We exploit these improved bounds to give a partial classification for Conway groupoids when $\lambda=3$.

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Nick Gill, Jeremías Ramírez. 2019-06-18. Groups Obtained from $2-(n,4,3)$ Supersimple Designs. https://arxiv.org/abs/1906.07581

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