2 papers
math.GR2024
A note on the probability of a groupoid having deficient sets
Carles Cardó
A subset of a groupoid is said to be deficient if . It is well-known that the probability that a random groupoid has a deficient -element set with $t\ge…
math.CO2024
Growth and density in free groupoids
Carles Cardó
The density of a subgroupoid with respect to a free groupoid is defined as the asymptotic ratio of their growths. This notion can be interpreted as a generalisation of the index's…