7.Let Gbe a group of order 45. Then(a)G has an element of order 9(b)Ghas subgroup of order 9(c)Ghas a normal subgroup of order 9(d)Ghas a normal subgroup of order 5

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Answered: 7. Let G be a group of order 45. Then…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.5: Normal Subgroups

Problem 9E: 9. Consider the octic group of Example 3. Find a subgroup of that has order and is a normal...

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7. Let G be a group of order 45. Then (a) G has an element of order 9 (b) Ghas subgroup of order 9 (c) Ghas a normal subgroup of order 9 (d) Ghas a normal subgroup of order 5