Permutation and extension for planar quasi-independent subsets of the roots of unity

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dc.creatorRamsey, L. Thomas
dc.creatorGraham, Colin C.
dc.date2006-06-21
dc.date.accessioned2026-07-07T07:17:33Z
dc.date.available2026-07-07T07:17:33Z
dc.descriptionLet $e^{2πi\Q}$ denote the set of roots of unity. We consider subsets $E\subset e^{2πi\Q}$ that are quasi-independent or algebraically independent (as subsets of the discrete plane). A bijective map on $e^{2πi\Q}$ preserves the algebraically independent sets iff it preserves the quasi-independent sets, and those maps are characterized. The effect on the size of quasi-independent sets in the $n^{th}$ roots of unity $Z_n$ of increasing a prime factor of $n$ is studied.
dc.identifierhttps://arxiv.org/abs/math/0606546
dc.identifierhttp://arxiv.org/abs/math/0606546
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113979
dc.subjectFunctional Analysis
dc.subjectPrimary: 42A16, 43A46; Secondary 11A25, 11B99, 11lxx
dc.titlePermutation and extension for planar quasi-independent subsets of the roots of unity
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