Email this article Intersections of shifts of multiplicative subgroups
- Authors: V’yugin I.V.1,2, Solodkova E.V.1, Shkredov I.D.1,3,4
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Affiliations:
- Kharkevich Institute for Problems in Information Transmission
- National Research University Higher School of Economics
- Steklov Mathematical Institute
- Demidov Yaroslavl State University
- Issue: Vol 100, No 1-2 (2016)
- Pages: 189-198
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149594
- DOI: https://doi.org/10.1134/S0001434616070154
- ID: 149594
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Abstract
Using Stepanov’s method, we obtain an upper bound for the cardinality of the intersection of additive shifts of several multiplicative subgroups of a finite field. The resulting inequality is applied to a question dealing with the additive decomposability of subgroups.
About the authors
I. V. V’yugin
Kharkevich Institute for Problems in Information Transmission; National Research University Higher School of Economics
Author for correspondence.
Email: vyugin@gmail.com
Russian Federation, Moscow; Moscow
E. V. Solodkova
Kharkevich Institute for Problems in Information Transmission
Email: vyugin@gmail.com
Russian Federation, Moscow
I. D. Shkredov
Kharkevich Institute for Problems in Information Transmission; Steklov Mathematical Institute; Demidov Yaroslavl State University
Email: vyugin@gmail.com
Russian Federation, Moscow; Moscow; Yaroslavl
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