5 citations · 10 across the 4 of their papers we have counts for
12 papers · 1 filter
Generating wreath products of symmetric and alternating groups
James East, James D Mitchell
We show that the wreath product of two finite symmetric or alternating groups is 2-generated.
Congruence lattices of ideals in categories and (partial) semigroups
James East, Nik Ruskuc
This paper presents a unified framework for determining the congruences on a number of monoids and categories of transformations, diagrams, matrices and braids, and on all their id…
Structure of principal one-sided ideals
James East
We give a thorough structural analysis of the principal one-sided ideals of arbitrary semigroups, and then apply this to full transformation semigroups and symmetric inverse monoid…
Sandwich semigroups in diagram categories
Ivana Đurđev, Igor Dolinka, James East
This paper concerns a number of diagram categories, namely the partition, planar partition, Brauer, partial Brauer, Motzkin and Temperley-Lieb categories. If denotes a…
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids
James East
For a monoid , we denote by the group of units, the submonoid generated by the idempotents, and and the submonoid…
Green's relations and stability for subsemigroups
James East, Peter M. Higgins
We prove new results on inheritance of Green's relations by subsemigroups in the presence of stability of elements. We provide counterexamples in other cases to show in particular…