Explicit bounds for growth of sets in non-abelian groups Autors/ores Alberto Espuny Díaz Universitat Politècnica de Catalunya Paraules clau: Additive Combinatorics, Combinatorial Number Theory, Growth in groups. Resum 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. Descàrregues PDF (English) Publicat 2018-09-27 Com citar 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 Més formats de citació ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver Descarregar citació Endnote/Zotero/Mendeley (RIS) BibTeX Número Vol. 3 Núm. 1 (2017) Secció Articles Llicència The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal Reports@SCM, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Reports@SCM.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.The journal Reports@SCM is not responsible for the ideas and opinions expressed by the authors of the published articles.