Mathematics with a Taste of Combinatorics on Words, THIRD PART: ALGEBRA

Abstract algebra is, in some sense, the birthplace of words. Indeed, basic algebraic objects, such as free groups for example, are defined explicitly using words. This has motivated, as we shall see here, the study of many important notions on words, such as Nielsen transformations for example. Also, we will talk about semigroup, quasigroups and so on.