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The P\'{o}lya group of an algebraic number field is a particular subgroup ofthe ideal class group. This article provides an overview of recent results onP\'{o}lya groups of number fields, their connection with the ring ofinteger-valued polynomials and touches upon some results on number fieldshaving large P\'{o}lya groups. For the sake of completeness, we have includedthe proof of Zantema's theorem which laid the foundation to determine theP\'{o}lya groups of many finite Galois extensions over $\mathbb{Q}$. Towardsthe end of the article, we provide an elementary proof of a weaker version of arecent result of Cherubini et al.

A brief survey of recent results on P\'{o}lya groups