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- W2189452839 abstract "A finite group G is said to have Perfect Order Subsets if for every d, the number of elements of G of order d (if there are any) divides |G|. Answering a question of Finch and Jones from 2002, we prove that if G is Abelian, then such a group has order divisible by 3 except in the case G = Z/2Z. We also place additional restrictions on the order of such groups." @default.
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- W2189452839 date "2012-01-01" @default.
- W2189452839 modified "2023-09-27" @default.
- W2189452839 title "ON GROUPS WITH PERFECT ORDER SUBSETS" @default.
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