(please solve within 15 minutes I will give thumbs up) . Let G be a group of order 425. Prove that if H is a normalubgroup of order 17 in G then H < Z(G).

Let G be a group of order 425. Prove that if H is a normal subgroup of order 17 in G. Then H≤ Z(G).

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Let G be a group of order 425. Prove that if H is a normal bgroup of order 17 in G then H < Z(G).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.4: Cosets Of A Subgroup

Problem 11E: Let be a group of order 24. If is a subgroup of , what are all the possible orders of ?

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. Let G be a group of order 425. Prove that if H is a normal
ubgroup of order 17 in G then H < Z(G).

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