Let G be an Abelian group and let H be the subgroup consisting of all elements of G that have finite order. Prove that every non-identity element in G/H has infinite order.
No clue were to go, or even start from. Any help would be appreciated.
Let G be an Abelian group and let H be the subgroup consisting of all elements of G that have finite order. Prove that every non-identity element in G/H has infinite order.
No clue were to go, or even start from. Any help would be appreciated.
has finite order , for some has finite order and thus...