Problem

A torsion group is a group all of whose elements have finite order. A group is torsion fre...

A torsion group is a group all of whose elements have finite order. A group is torsion free if the identity is the only element of finite order. A student is asked to prove that if G is a torsion group, then so is G/H for every normal subgroup H of G. The student writes We must show that each element of G/H is of finite order. Let X € G/H. Answer the same questions as in Exercise 21.

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Solutions For Problems in Chapter S.14