3. a) List all elements of (Z45,) that are of order 15. State the results used.b) Let G = be cyclic of order 40. List all elements in G that are of order 10.c) Let G be a group and let a, b E G. Assume that a #e and o(b) = 2 and bab-¹ =a².Find o(a).

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Answered: 3. a) List all elements of (Z45.) that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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3. a) List all elements of (Z45.) that are of order 15. State the results used. b) Let G = be cyclic of order 40. List all elements in G that are of order 10. c) Let G be a group and let a, b E G. Assume that a #e and o(b) = 2 and bab¹ = a². Find o(a).