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arxiv: 1605.05994 · v1 · pith:HCTI7EVJnew · submitted 2016-05-18 · 🧮 math.GR

On two questions by Finch and Jones about perfect order subset groups

classification 🧮 math.GR
keywords finchjonesorderquestionsanswerdividesdivisibleelements
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A finite group G is said to be a POS-group if the number of elements of every order occurring in G divides |G|. We answer two questions by Finch and Jones by providing an infinite family of nonabelian POS-groups with orders not divisible by 3.

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