Word (group theory)
= Word (group theory)
{wiki=Word_(group_theory)}
In group theory, a "word" is a finite sequence of symbols that represents an element in a group. More specifically, if \\( G \\) is a group with a specified set of generators, a word in that group is formed by taking elements from the generating set and forming products according to group operations. \#\#\# Definitions and Components: 1. **Generators**: A group \\( G \\) can often be described in terms of a set of generators \\( S \\).