Word (group Theory) - Notation

Notation

When writing words, it is common to use exponential notation as an abbreviation. For example, the word

could be written as

This latter expression is not a word itself—it is simply a shorter notation for the original.

When dealing with long words, it can be helpful to use an overline to denote inverses of elements of S. Using overline notation, the above word would be written as follows:

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