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• W2811171687 abstract "We consider the isomorphism problem for finite abelian groups and finite meta-cyclic groups. We prove that for a dense set of positive integers $n$, isomorphism testing for abelian groups of black-box type of order $n$ can be done in time polynomial in $log n$. We also prove that for a dense set of orders $n$ with given prime factors, one can test isomorphism for coprime meta-cyclic groups of black-box type of order $n$ in time polynomial in $log n$. Prior methods for these two classes of groups have running times exponential in $log n$." @default.
• W2811171687 created "2018-07-10" @default.
• W2811171687 creator A5008145013 @default.
• W2811171687 creator A5046358376 @default.
• W2811171687 date "2018-06-22" @default.
• W2811171687 modified "2023-09-27" @default.
• W2811171687 title "Polynomial-time isomorphism testing of groups of most finite orders" @default.
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• W2811171687 hasPublicationYear "2018" @default.
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