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Suppose H and K are subgroups of a group G. If

Chapter 7, Problem 22E

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QUESTION:

Suppose H and K are subgroups of a group G. If |H|=12 and |K|=35, find \(|H \cap K|\). Generalize.

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QUESTION:

Suppose H and K are subgroups of a group G. If |H|=12 and |K|=35, find \(|H \cap K|\). Generalize.

ANSWER:

Step 1 of 3

Lagrange’s theorem:

The corollary of Lagrange’s theorem states that the order of each element of the group G divides the order of G.

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