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free group (Definition)

"free group" is owned by yark. [ full author list (4) | owner history (3) ]
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See Also: free module, subgroup, group, free product

Also defines:  freely generates, freely generated, rank, empty word
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Cross-references: isomorphic, operation, equivalence classes, equivalence relation, monoid, concatenation, product, binary operation, finite sequence, index set, group generated by, homomorphic image, free abelian group, abelianization, isomorphism, cardinal number, well-defined, generate, cardinality, generating set, countably infinite, generated by, matrices, integer, infinite cyclic group, empty set, element, function, subset, group
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This is version 40 of free group, born on 2002-02-25, modified 2007-12-14.
Object id is 2687, canonical name is FreeGroup.
Accessed 19513 times total.

Classification:
AMS MSC20E05 (Group theory and generalizations :: Structure and classification of infinite or finite groups :: Free nonabelian groups)

Pending Errata and Addenda
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