4 citations · 5 across the 2 of their papers we have counts for
6 papers · 1 filter
A Survey on Varieties Generated by Small Semigroups and a Companion Website
João Araújo, João Pedro Araújo, Peter J. Cameron +2
The aim of this paper is to provide an atlas of identity bases for varieties generated by small semigroups and groups. To help the working mathematician easily find information, we…
A Transversal Property for Permutation Groups Motivated by Partial Transformations
João Araújo, João Pedro Araújo, Wolfram Bentz +2
In this paper we introduce the definition of -universal transversal property, which is a refinement of the definition of -universal transversal property, which in turn is…
Primitive Permutation Groups and Strongly Factorizable Transformation Semigroups
João Araújo, Wolfram Bentz, Peter J. Cameron
Let be a finite set and be the full transformation monoid on . The rank of a transformation is the natural number . Given , denote…
The existential transversal property: a generalization of homogeneity and its impact on semigroups
João Araújo, Wolfram Bentz, Peter J. Cameron
Let be a permutation group of degree , and a positive integer with . We say that has the -existential property, or -et for short, if there exists a …
Integrals of groups
João Araújo, Peter J. Cameron, Carlo Casolo +1
An of a group is a group whose derived group (commutator subgroup) is isomorphic to . This paper discusses integrals of groups, and in particular questions ab…
The Classification of Partition Homogeneous Groups with Applications to Semigroup Theory
Jorge André, João Araújo, Peter J. Cameron
Let be a \emph{partition} of , a sequence of positive integers in non-increasing order with sum . Let . An ordered partition $P=(A_1,A_2,...…