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presentation of a group (Definition)
Model

"presentation of a group" is owned by rmilson. [ full author list (2) ]
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See Also: generating set of a group, Cayley graph

Other names:  presentation, finite presentation, finitely presented
Also defines:  generator, relation, generators and relations, relator
Keywords:  finitely presented
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Cross-references: Coxeter group, adjacent, transpositions, canonical, symmetric group, without loss of generality, kernel, Nielsen-Schreier theorem, smallest normal subgroup containing, free group, short exact sequence, generated by, identity, property, alphabet, word, inverses, product, generate, collection, defining relations, finite, terms, group
There are 78 references to this entry.

This is version 17 of presentation of a group, born on 2002-02-19, modified 2007-06-28.
Object id is 2182, canonical name is Presentationgroup.
Accessed 40276 times total.

Classification:
AMS MSC20F05 (Group theory and generalizations :: Special aspects of infinite or finite groups :: Generators, relations, and presentations)
 20A05 (Group theory and generalizations :: Foundations :: Axiomatics and elementary properties)

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