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Abelian group

1 byte added, 15:09, 8 December 2008
Notation
==Notation==
When <math>G</math> is an Abelian group, we typically use ''additive'' notation and terminology. thusThus, the group multiplication is termed ''addition'' and the product of two elements is termed the ''sum''.
# The infix operator <math>+</math> is used for the group multiplication, so the sum of two elements <math>a</math> and <math>b</math> is denoted by <math>a + b</math>. The group multiplication is termed ''addition'' and the product of two elements is termed the ''sum''.
This convention is typically followed in a situation where we are dealing with the Abelian group <math>G</math> in isolation, rather than as a subgroup of a possibly non-Abelian group. If we are working with subgroups in a non-Abelian group, we typically use multiplicative notation even if the subgroup happens to be Abelian.
 
==Examples==
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