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f34. If H and K are subgroups of G, show that H n K is a subgroup of G. (Can you see that the same
\f34. If H and K are subgroups of G, show that H n K is a subgroup of G. (Can you see that the same proof shows that the intersection of any number of subgroups of G, finite or infinite, is again a subgroup of G?)\f58. Prove that the subset of elements of finite order in an Abelian group forms a subgroup. (This subgroup is called the torsion subgroup.) Is the same thing true for non-Abelian groups
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