35 citations · 135 across the 28 of their papers we have counts for
32 papers
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…
Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups
Peter J Cameron, James East, Des FitzGerald +3
For a positive integer , the full transformation semigroup consists of all self maps of the set under composition. Any finite semigroup embeds in some…
An explicit algorithm for normal forms in small overlap monoids
James D. Mitchell, Maria Tsalakou
We describe a practical algorithm for computing normal forms for semigroups and monoids with finite presentations satisfying so-called small overlap conditions. Small overlap condi…
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…