Let $G$ be an arbitrary torsion group without involutions. Show that $G$ is 2-divisible.
I think it is enough to show $G$=$2G$ but i can't show why $2G$ can't be proper subgroups of $G$ ?
Please give me Hint not all answer .
Let $G$ be an arbitrary torsion group without involutions. Show that $G$ is 2-divisible.
I think it is enough to show $G$=$2G$ but i can't show why $2G$ can't be proper subgroups of $G$ ?
Please give me Hint not all answer .
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