Abelian groups
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Group structure
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You are reminded that a group is an abstract mathematical structure comprising a set G and a binary operation o that satisfies the following properties (axioms). (1) Identity There is an element e [symbol] G such that for any element a [symbol] G. [Equation goes here - download the original to see it.] (2) Inverses For every element a [symbol] G there is another element [Equation goes here - download the original to see it.] such that [Equation goes here - download the original to see it.] (3) Closure: For every pair of elements a,b, [symbol] G there is a third element [Equation] (4) Associativity For all elements a,b,c [symbol] G [Equation goes here - download the original to see it.]
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Contents of
Abelian groups
1 Group structure
2 The meaning of communtativity
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