Prove that every group of order 675 has a normal Sylow 5-subgroup.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.5: Isomorphisms
Problem 35E: Exercises 35. Prove that any two groups of order are isomorphic.
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Prove that every group of order 675 has a normal Sylow 5-subgroup.

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