7 citations · 11 across the 5 of their papers we have counts for
5 papers
Counting monogenic monoids and inverse monoids
L. Elliott, A. Levine, J. D. Mitchell
In this short note, we show that the number of monogenic submonoids of the full transformation monoid of degree for , equals the sum of the number of cyclic subgroups of…
Polish topologies on endomorphism monoids of relational structures
L. Elliott, J. Jonušas, J. D. Mitchell +2
In this paper we present general techniques for characterising minimal and maximal semigroup topologies on the endomorphism monoid of a countable r…
Unindexed subshifts of finite type and their connection to automorphisms of Thompson's groups
Luke Elliott
For a finite digraph , we define the corresponding subshift of finite type to be the dynamical system where is the set of all bi-infinite walks through an…
A Description of Aut(dVn) and Out(dVn) Using Transducers
Luke Elliott
The groups are an infinite family of groups, first introduced by C. Martínez-Pérez, F. Matucci and B. E. A. Nucinkis, which includes both the Higman-Thompson groups $V_n(=1V…
Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones
L. Elliott, J. Jonušas, Z. Mesyan +3
In this paper we explore the extent to which the algebraic structure of a monoid determines the topologies on that are compatible with its multiplication. Specifically we s…