If N is a normal subgroup of a group G, and if every element of N has finite order, and

D

Dan

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every element of G/N? If N is a normal subgroup of a group G, and if every element of N has
finite order, and every element of G/N has finite order, prove that every
element of G has finite order. (Note that there is no assumption that any
of the groups N,G/N,G are finite groups.)
 
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