dcernst / IBL-AbstractAlgebra

IBL course materials for an undergraduate first-semester abstract algebra course that emphasizes visualization.
http://dcernst.github.io/IBL-AbstractAlgebra/
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Fun exercise #163

Open dcernst opened 1 year ago

dcernst commented 1 year ago

Suppose $G=\langle a,b\rangle$ such that $|a|=2$. Prove that if $\langle a\rangle$ is normal in $G$, then $G$ is abelian.