4 citations · 4 across the 8 of their papers we have counts for
9 papers
On groups with few subgroups not in the Chermak-Delgado lattice
David Burrell, William Cocke, Ryan McCulloch
We investigate the question of how many subgroups of a finite group are not in its Chermak-Delgado lattice. The Chermak-Delgado lattice for a finite group is a self-dual lattice of…
Central Products and the Chermak-Delgado Lattice
William Cocke, Ryan McCulloch
The Chermak-Delgado lattice of a finite group is a modular, self-dual sublattice of the lattice of subgroups. We prove that the Chermak-Delgado lattice of a central product contain…
Model Repair via Symmetry
Paul Attie, William Cocke
The symmetry of a Kripke structure has been exploited to replace a model check of by a model check of the potentially smaller structure ob…
The Amit-Ashurst conjecture for finite metacyclic p-groups
Rachel D. Camina, William Cocke, Anitha Thillaisundaram
The Amit conjecture about word maps on finite nilpotent groups has been shown to hold for certain classes of groups. The generalised Amit conjecture says that the probability of an…
A Database of Groups with Equivalent Character Tables
William Cocke, Steve Goldstein, Michael Stemper
Two groups are said to have the same character table if a permutation of the rows and a permutation of the columns of one table produces the other table. The problem of determining…
Word Maps in Finite Simple Groups
William Cocke, Meng-Che "Turbo" Ho
Elements of the free group define interesting maps, known as word maps, on groups. It was previously observed by Lubotzky that every subset of a finite simple group that is closed…