Abstract
As motivation for the general investigation of universal constructions, the concept of a free group on a set X is defined, and such groups are constructed in three ways: As sets of group-theoretic terms in X modulo consequences of the group identities, as subgroups of sufficiently large direct product groups, and as groups of reduced words.
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Bergman, G.M. (2015). Free Groups. In: An Invitation to General Algebra and Universal Constructions. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-11478-1_3
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DOI: https://doi.org/10.1007/978-3-319-11478-1_3
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