31 citations · 211 across the 34 of their papers we have counts for
5 papers · 1 filter
On the enumeration of integer tetrahedra
James East, Michael Hendriksen, Laurence Park
We consider the problem of enumerating integer tetrahedra of fixed perimeter (sum of side-lengths) and/or diameter (maximum side-length), up to congruence. As we will see, this pro…
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…
Presentations for P^K
James East
It is a classical result that the direct product AxB of two groups is finitely generated (finitely presented) if and only if A and B are both finitely generated (finitely presented…
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.
Presentations for Temperley-Lieb algebras
James East
We give a new and conceptually straightforward proof of the well-known presentation for the Temperley-Lieb algebra, via an alternative new presentation. Our method involves twisted…