Some remarks on products of sets in the Heisenberg group and in the affine group-Reference-Cited by-同舟云学术

Some remarks on products of sets in the Heisenberg group and in the affine group

Published:2020-01-01 Issue:1 Volume:32 Page:189-199
ISSN:1435-5337
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Shkredov Ilya D.¹

Affiliation:

1. Steklov Mathematical Institute, ul. Gubkina, 8, 119991, Moscow; and IITP RAS, Bolshoy Karetny per. 19, 127994, Moscow; and MIPT, Institutskii per. 9, Dolgoprudnii, 141701, Russia

Abstract

AbstractWe obtain some new results about products of large and small sets in the Heisenberg group as well as in the affine group over the prime field. We apply these growth results to Freiman’s isomorphism in nonabelian groups.

Funder

Russian Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2019-0181/pdf

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