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Free groups and projective groups

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Abstract Free groups play as important a role in profinite group theory as in abstract group theory. Free profinite groups are defined, like free abstract groups, by a universal property, and epimorphisms from them provide a useful means for studying arbitrary profinite groups.
Oxford University PressOxford
Title: Free groups and projective groups
Description:
Abstract Free groups play as important a role in profinite group theory as in abstract group theory.
Free profinite groups are defined, like free abstract groups, by a universal property, and epimorphisms from them provide a useful means for studying arbitrary profinite groups.

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