Let G be a group (not ncesssarily an Abelian group) of order 425. Prove that G must have an element of order 5.

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 7E: Let H be a torsion subgroup of an abelian group G. That is, H is the set of all elements of finite...
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Let G be a group (not ncesssarily an Abelian group) of order 425.

Prove that G must have an element of order 5.

 

Please be clear with theorems and math rules.

Be legible.  Thanks

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