Inverse problems in Additive Number Theory and in Non-Abelian Group Theory

G. A. Freiman; M. Herzog; P. Longobardi; M. Maj; Y. V. Stanchescu

Inverse problems in Additive Number Theory and in Non-Abelian Group Theory

Number Theory 2013-03-15 v1 Combinatorics Group Theory

Authors: G. A. Freiman , M. Herzog , P. Longobardi , M. Maj , Y. V. Stanchescu

Abstract

The aim of this paper is threefold: a) Finding new direct and inverse results in the additive number theory concerning Minkowski sums of dilates. b) Finding a connection between the above results and some direct and inverse problems in the theory of Baumslag-Solitar (non-abelian) groups. c) Solving certain inverse problems in Baumslag-Solitar groups or monoids, assuming appropriate small doubling properties.

Keywords

additive number theory non-abelian groups inverse problems Minkowski sums Baumslag-Solitar groups small doubling property

Cite

@article{arxiv.1303.3053,
  title  = {Inverse problems in Additive Number Theory and in Non-Abelian Group Theory},
  author = {G. A. Freiman and M. Herzog and P. Longobardi and M. Maj and Y. V. Stanchescu},
  journal= {arXiv preprint arXiv:1303.3053},
  year   = {2013}
}

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31 pages

Inverse problems in Additive Number Theory and in Non-Abelian Group Theory

Abstract

Keywords

Cite

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