A number-theoretic approach to homotopy exponents of SU(n)

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dc.creatorDavis, Donald M.
dc.creatorSun, Zhi-Wei
dc.date2005-08-04
dc.date2006-11-23
dc.date.accessioned2026-07-07T06:42:44Z
dc.date.available2026-07-07T06:42:44Z
dc.descriptionWe use methods of combinatorial number theory to prove that, for each $n>1$ and any prime $p$, some homotopy group $π_i(SU(n))$ contains an element of order $p^{n-1+ord_p([n/p]!)}$, where $ord_p(m)$ denotes the largest integer $α$ such that $p^α$ divides $m$.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0508083
dc.identifierhttp://arxiv.org/abs/math/0508083
dc.identifierJ. Pure Appl. Algebra 209(2007), 57-69
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102154
dc.subjectAlgebraic Topology
dc.subjectNumber Theory
dc.subject55Q52; 57T20; 11A07; 11B65; 11S05
dc.titleA number-theoretic approach to homotopy exponents of SU(n)
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