An analogue of Vosper's theorem for extension fields

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...

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Bibliographic Details
Published in:	Mathematical proceedings of the Cambridge Philosophical Society Vol. 163; no. 3; pp. 423 - 452
Main Authors:	BACHOC, CHRISTINE, SERRA, ORIOL, ZÉMOR, GILLES
Format:	Journal Article Publication
Language:	English
Published:	Cambridge, UK Cambridge University Press 01.11.2017
Subjects:	05 Combinatorics 05C Graph theory 60 Probability theory and stochastic processes 60C05 Combinatorial probability Classificació AMS Combinacions (Matemàtica) Combinatorial analysis Combinatorial probabilities Combinatòria Matemàtica discreta Matemàtiques i estadística Probabilitat Subspaces Theorems Vector spaces Àrees temàtiques de la UPC
ISSN:	0305-0041, 1469-8064
Online Access:	Get full text
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