Let p be a fixed prime. Let R P be the set of all those rational numbers
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Let p be a fixed prime. Let RP be the set of all those rational numbers whose denominator is relatively prime top. Let Rp be the set of rationals whose denominator is a power of p (pi, i ≥ 0). Prove that both Rp and Rp are abelian groups under ordinary addition of rationals.
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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