arXiv subjects

Jeremías Ramírez

Publications and source records attributed to Jeremías Ramírez.

2 recordsLinked to original sources

arXiv2019

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

We contribute towards the classification programme for Conway groupoids associated to a $2-(n,4,λ)$ 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 $λ=3$.

math.GR↗

arXiv2015

Abelian covers of alternating groups

Let $G=A_n$, a finite alternating group. We study the commuting graph of $G$ and establish, for all possible values of $n$ barring $13, 14, 17$ and $19$, whether or not the independence number is equal to the clique-covering number.

math.GR↗