Showing math.GRShow all
3 papers · 1 filter
math.GR2020
Rational growth in torus bundle groups of odd trace
Seongjun Choi, Meng-Che "Turbo" Ho, Mark Pengitore
A group is said to hae a rational growth with respect to the generating set if the growth series is a rational polynomial. It was shown by Parry that a subset of torus bundle group…
math.GR2019
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…
math.GR2018
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…