Answered: 3. Let G = Z20 and H =<5>, a. Find the index of H in G. b. List the elements of G/H. Construct a Cayley Table for G/H d. Find the order of the elements 3+<5>...

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN: 9781133382119

Author: Swokowski

Publisher: Cengage

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Transcribed Image Text:3. Let G = Z20 and H =<5>, a. Find the index of H in G. b. List the elements of G/H. Construct a Cayley Table for G/H d. Find the order of the elements 3+<5> and 14+<5> e. Is G/H cyclic? Justify.

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