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A finite group G has elements of orders p and q, where p and q are distinct primes. What

Chapter 17, Problem 17.8

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QUESTION:

A finite group G has elements of orders p and q, where p and q are distinct primes. What canyou conclude about I G I ?

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QUESTION:

A finite group G has elements of orders p and q, where p and q are distinct primes. What canyou conclude about I G I ?

ANSWER:

Step 1 of 2

Consider the task is G.

Consider the G has the element a with the order . Then, by the Corollary 1 of the Lagrange’s theorem.

                                                                 

 

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