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Subgroup Test Example

Robert Thorne • • 1 min read
Subgroup Test Example
$\begingroup$

Let $G$ be a group, and $h$ an element of $G$. Prove that $\{g \in G : gh = hg\}$ is a subgroup of $G$.

Any sort of explanation is appreciated. I don't have a solution since I'm not sure how to start this. Tried reading up on subgroup tests but I feel an example is needed.

$\endgroup$
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Robert Thorne
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Robert Thorne

Robert Thorne covers electric vehicle innovations, autonomous driving systems, global mobility trends, and automotive engineering developments.