35 citations · 135 across the 28 of their papers we have counts for
22 papers · 1 filter
Heights of one- and two-sided congruence lattices of semigroups
M. Brookes, J. East, C. Miller +2
The height of a poset is the supremum of the cardinalities of chains in . The exact formula for the height of the subgroup lattice of the symmetric group is…
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.
Sets of universal sequences for the symmetric group and analogous semigroups
James Hyde, Julius Jonušas, James D. Mitchell +1
A universal sequence for a group or semigroup is a sequence of words such that for any sequence , the equations , $n\in \ma…
Congruence lattices of finite diagram monoids
James East, James D. Mitchell, Nik Ruskuc +1
We give a complete description of the congruence lattices of the following finite diagram monoids: the partition monoid, the planar partition monoid, the Brauer monoid, the Jones m…
Maximal subsemigroups of finite transformation and diagram monoids
James East, Jitender Kumar, James D. Mitchell +1
We describe and count the maximal subsemigroups of many well-known monoids of transformations and monoids of partitions. More precisely, we find the maximal subsemigroups of the fu…
Two variants of the Froiduire-Pin Algorithm for finite semigroups
J. Jonušas, J. D. Mitchell, M. Pfeiffer
In this paper, we present two algorithms based on the Froidure-Pin Algorithm for computing the structure of a finite semigroup from a generating set. As was the case with the origi…