Mathematics and Statistics Colloquium
Coxeter groups arise from studying the rotational and reflection symmetries of geometric objects. Coxeter groups have nice properties that do not hold for groups in general. The Word Problem for groups deals with trying to determine whether two elements of a group are the same element. In general the word problem is unsolvable. This talk will discuss some of the nice properties of Coxeter groups and use some of these properties to show that the Word Problem for Coxeter Groups has a solution.