The Classification of Partition Homogeneous Groups with Applications to Semigroup Theory

Jorge André, João Araújo, Peter J. Cameron

Let $\lambda =({\lambda }_1,{\lambda }_2,...)$ be a \emph{partition} of $n$, a sequence of positive integers in non-increasing order with sum $n$. Let $\Omega :=\{1,...,n\}$. An ordered partition $P=(A_1,A_2,...…