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we know that (Z; *) is a group, where ry:=x - 3+ y for all x, y Z. Let y: Z Z be defined
we know that (Z; *) is a group, where ry:=x - 3+ y for all x, y Z. Let y: Z Z be defined by p(x):=x+3 for all x E|Z. Show that is an isomorphism from (Z; +) 4 to (Z; *). To show that is invertible, it is enough to write down the inverse function.
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The inverse function is defined by xy y 3 for all y EZ Indeed for all x y EZ we ha...
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An Introduction to Measure Theoretic Probability
Authors: George G. Roussas
2nd edition
128000422, 978-0128000427
