26 citations · 48 across the 13 of their papers we have counts for
20 papers
Complete Mappings of Semigroups
João Araújo, Wolfram Bentz, Peter J. Cameron +2
A complete mapping of a semigroup is a bijection such that the map defined by is also a bijection. Equivalently, it determines…
The Inverse Monoid of Partial Inner Automorphisms of a Semigroup
João Araújo, Wolfram Bentz, Michael Kinyon +2
We introduce the inverse monoid of inner partial automorphisms of a semigroup -- a tool that associates to every semigroup an inverse semigroup. When the semigroup is a group, this…
Conjugacy in Abstract Semigroups, Transformation and Diagram Monoids, and Conjugacy Growth
João Araújo, Wolfram Bentz, Michael Kinyon +3
We study conjugacy relations on semigroups and monoids, focusing on the relation $a \cfn b$, defined by the existence of such that , , , an…
CREAM: a Package to Compute [Auto, Endo, Iso, Mono, Epi]-morphisms, Congruences, Divisors and More for Algebras of Type
João Araújo, Rui Barradas Pereira, Wolfram Bentz +4
The CREAM GAP package computes automorphisms, congruences, endomorphisms and subalgebras of algebras with an arbitrary number of binary and unary operations; it also decides if bet…
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…