Let G be cyclic group of order 5p where p is a prime with p not equal to 5 . Prove that the number of generators of G is 4(p-1) . [Hint: Find a finite cyclic group under addition such that is isomorphic to it, and proceed.] (b) Let G1 , G2 and G3 be three cyclic. Prove that G1 X G2 X G3 is an abelian group

Let G be cyclic group of order 5p where p is a prime with p not equal to 5 . Prove that the number of generators of G is 4(p-1) . [Hint: Find a finite cyclic group under addition such that is isomorphic to it, and proceed.] (b) Let G1 , G2 and G3 be three cyclic. Prove that G1 X G2 X G3 is an abelian group

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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