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10 Nov 2019
Let G = R \ {-1} and define a binary operation on G by a * b = a + b + ab. Prove that G is a group under this operation. Show that (G, *) is isomorphic to the multiplicative group of nonzero real numbers. don't verify that G is a group (we've done this before), just prove that the groups are isomorphic.
Let G = R \ {-1} and define a binary operation on G by a * b = a + b + ab. Prove that G is a group under this operation. Show that (G, *) is isomorphic to the multiplicative group of nonzero real numbers. don't verify that G is a group (we've done this before), just prove that the groups are isomorphic.
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Trinidad TremblayLv2
5 Mar 2019