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If H and K are subgroups of G and g belongs to G, show

Chapter 7, Problem 11E

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QUESTION: Problem 11E

If H and K are subgroups of G and g belongs to G, show that g(H K) = gH gK.

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QUESTION: Problem 11E

If H and K are subgroups of G and g belongs to G, show that g(H K) = gH gK.

ANSWER:

Step 1 of 3

Lagrange’s Theorem: The Lagrange’s Theorem can be stated as an indication in which if any particular group is having any subgroup, then the order of subgroup will be the divisor of the group.

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