# Subgroups

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"C" means set containment (not proper set containment)

and "T" means intersection of sets

If H and K are subgroups of a group and |H| is prime, show that H C K or H T K = {1}

Â© BrainMass Inc. brainmass.com September 28, 2022, 8:45 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/subgroups-prime-constraints-15176

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Proof:

Since |H| is a prime. For any subgroup S in H, we know ...

#### Solution Summary

This is a proof regarding prime subgroups.

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