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An analogue of Vosper's theorem for extension fields
dc.contributor.author | Bachoc, Christine |
dc.contributor.author | Serra Albó, Oriol |
dc.contributor.author | Zemor, Gilles |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2018-03-19T10:51:16Z |
dc.date.available | 2018-05-26T00:30:37Z |
dc.date.issued | 2017-11-01 |
dc.identifier.citation | Bachoc, C., Serra, O., Zemor, G. An analogue of Vosper's theorem for extension fields. "Mathematical proceedings of the Cambridge Philosophical Society", 1 Novembre 2017, vol. 163, núm. 3, p. 423-452. |
dc.identifier.issn | 0305-0041 |
dc.identifier.other | https://arxiv.org/abs/1501.00602 |
dc.identifier.uri | http://hdl.handle.net/2117/115387 |
dc.description.abstract | We are interested in characterising pairs S, T of F-linear subspaces in a field extension L/F such that the linear span ST of the set of products of elements of S and of elements of T has small dimension. Our central result is a linear analogue of Vosper's Theorem, which gives the structure of vector spaces S, T in a prime extension L of a finite field F for which \begin{linenomath}$$ \dim_FST =\dim_F S+\dim_F T-1, $$\end{linenomath} when dim FS, dim FT ¿ 2 and dim FST ¿ [L : F] - 2. |
dc.format.extent | 30 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat |
dc.subject.lcsh | Combinatorial analysis |
dc.subject.lcsh | Combinatorial probabilities |
dc.title | An analogue of Vosper's theorem for extension fields |
dc.type | Article |
dc.subject.lemac | Combinatòria |
dc.subject.lemac | Combinacions (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.identifier.doi | 10.1017/S0305004117000044 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.subject.ams | Classificació AMS::60 Probability theory and stochastic processes::60C05 Combinatorial probability |
dc.relation.publisherversion | https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/an-analogue-of-vospers-theorem-for-extension-fields/66AB475A5CF8C2DF2BC2BB0CC2AAED9D |
dc.rights.access | Open Access |
local.identifier.drac | 21578416 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Bachoc, C.; Serra, O.; Zemor, G. |
local.citation.publicationName | Mathematical proceedings of the Cambridge Philosophical Society |
local.citation.volume | 163 |
local.citation.number | 3 |
local.citation.startingPage | 423 |
local.citation.endingPage | 452 |
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