J. Ara'ujo

activity

20102020

2

-transitive: Synchronization and its friends

59 citations · 98 across the 16 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math.GR2012★ 1 cited

The classification of normalizing groups

João Araújo, Peter J. Cameron, James Mitchell +1

Let $X$ be a finite set such that $∣ X ∣ = n$ . Let $\trans$ and $\sym$ denote respectively the transformation monoid and the symmetric group on $n$ points. Given $a\in \trans\setminus…

math.GR2012★ 5 cited

Two Generalizations of Homogeneity in Groups with Applications to Regular Semigroups

João Araújo, Peter J. Cameron

Let $X$ be a finite set such that $∣ X ∣ = n$ and let $i \leq j \leq n$ . A group $G\leq \sym$ is said to be $(i, j)$ -homogeneous if for every $I, J \subseteq X$ , such that $∣ I ∣ = i$ and $|J|…