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See Also: subgroup, cyclic group, simple group, symmetric group, free group, ring, field, group homomorphism, Lagrange's theorem, identity element, proper subgroup, groupoid, fundamental group, topological group, Lie group, Proof: The orbit of any element of a group is a subgroup, locally cyclic group, existence of Hilbert class field, abelian group, , example of fibre product, group object, group scheme, subring, group action, general linear group
Also defines: 
inverse, identity 
Keywords: 
ring, algebra, morphism, subgroup, group, set 
Crossreferences: group actions, symmetry, additive, abelian, represent, identity element, closed, associativity, binary operation
There are 398 references to this object.
This is version 13 of group, born on 20010829, modified 20041002.
Object id is 78, canonical name is Group.
Accessed 17167 times total.
Classification:
AMS MSC:  2000 (Group theory and generalizations :: General reference works )   20A05 (Group theory and generalizations :: Foundations :: Axiomatics and elementary properties) 



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