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- W2071042641 abstract "We are concerned with some relations between the support of a function defined on a finite group and the support of its Fourier transform. Let Dp,q be the non-commutative group of order pq, where p, q are primes, and p | q −1. We prove an uncertainty-type inequality for DNp,q = {(x1, …, xN): xi ∈ Dp,q}, which has the following application: If H is a subgroup of DNp,q and x1 … xN = 1 for all (x1, …, xN) ∈ H, then (DNp,q: H) ⩾ q½p(N−1)/2." @default.
- W2071042641 created "2016-06-24" @default.
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- W2071042641 date "1992-09-01" @default.
- W2071042641 modified "2023-09-26" @default.
- W2071042641 title "An uncertainty inequality for groups of order pq" @default.
- W2071042641 cites W1481966678 @default.
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- W2071042641 doi "https://doi.org/10.1016/s0195-6698(05)80019-8" @default.
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