In this note we prove that all connected Cayley graphs of every finite group $Q \times H$ are 1-factorizable, where $Q$ is any non-trivial group of 2-power order and $H$ is any group of odd order.
3-Factor-criticality of vertex-transitive graphs
Stability of Cayley graphs on abelian groups of odd order
On the fractional matching extendability of Cayley graphs of Abelian groups
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