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Assume that G is a group with a subgroup H such that I H I = 6, [G : HI> 4, and I G I <

Chapter 17, Problem 17.9

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QUESTION:

Assume that G is a group with a subgroup H such that I H I = 6, [G : HI> 4, and I G I < 50.What are the possibilities for I G I ?

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QUESTION:

Assume that G is a group with a subgroup H such that I H I = 6, [G : HI> 4, and I G I < 50.What are the possibilities for I G I ?

ANSWER:

Step 1 of 2

Consider the group is G and the subgroup is H is the task.

Consider by the Lagrange’s theorem |H divides |G| with the value . Then,  for .

 

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