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- W121567585 abstract "SummaryIf G is a finite group, then Pr(G) is the probability that two randomly selected elements of G commute. So G is abelian iff Pr(G) = 1. For any positive integer m, we show that there is a group G which is a direct product of dihedral groups such that Pr(G) = 1/m. We also show that there is a dihedral group G such that Pr(G) = m/m′, where m′ is relatively prime to m." @default.
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- W121567585 date "2011-04-01" @default.
- W121567585 modified "2023-10-16" @default.
- W121567585 title "How Commutative Are Direct Products of Dihedral Groups?" @default.
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- W121567585 doi "https://doi.org/10.4169/math.mag.84.2.137" @default.
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