4 papers · 1 filter
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…
On the Number of Not Powers in a Finite Group
William Cocke
Let G be a finite group and let k be a positive integer. We examine the relationship between structural properties of G and the number of elements of G that are not kth powers in G…
The Probability Distribution of Word Maps on Finite Groups
William Cocke, Meng-Che "Turbo" Ho
Word maps provide a wealth of information about finite groups. We examine the connection between the probability distribution induced by a word map and the underlying structure of…