New proofs of Plünnecke-type estimates for product sets in groups

Author:

Petridis Giorgis

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics

Reference16 articles.

1. W. Gowers: A new way of proving sumset estimates, Blogpost, available online at http://gowers.wordpress.com/2011/02/10/a-new-way-of-proving-sumset-estimates/ .

2. A. Granville: An introduction to additive combinatorics, In: Additive Combinatorics, CRM Proceedings & Lecture Notes (New York, 2007), A. Granville, M. Nathanson, and J. Solymosi, Eds., American Mathamatical Society, 1–27.

3. H. Helfgott: Growth and generation in SL 2(ℤ/pℤ), Ann. of Math. 167 (2008), 601–623.

4. J. Malouf: On a theorem of Plünnecke concerning the sum of a basis and a set of positive density, J. Number Theory 54 (1995), 12–22.

5. G. Petridis: Upper bounds on the cardinality of higher sumsets, Preprint, available online at arXiv:1101.5001v2, submitted to Acta Arith.

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