Explicit bounds for growth of sets in non-abelian groups

Authors

  • Alberto Espuny Díaz Universitat Politècnica de Catalunya

Keywords:

Additive Combinatorics, Combinatorial Number Theory, Growth in groups.

Abstract

The Plünnecke-Ruzsa inequalities give upper bounds for the growth of iterated sumsets in an abelian group. These inequalities have been recently extended to the non-abelian case by Petridis and by Tao. The main result in this work is a proof of the non-abelian Plünecke-Ruzsa inequalities which makes no use of the method introduced by Petridis. Analogous inequalities for iterated products of two distinct sets are also obtained.

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Published

2018-09-27

How to Cite

Espuny Díaz, A. (2018). Explicit bounds for growth of sets in non-abelian groups. Reports@SCM, 3(1), 17–26. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/139413

Issue

Vol. 3 No. 1 (2017)

Section

Articles

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