Show that set of rational numbers not equal to -1 is an abelian group under a.b = a + b + ab
A set with an operation is abelian if it is a group and the operation is commutative over the set. Conditions for a group are: closure associative existence of identity existence of inverse In this problem, we have a set of rational numbers that are not equal to -1. It has been shown that the set has a group structure under the operation: a.b = a + b + ab #grouptheory @grouptheory#abeliangroup #rationalnumbers
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