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A combinatorial proof of the Removal Lemma for Groups
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Král', Daniel, Serra, Oriol and Vena, Lluís (2009) A combinatorial proof of the Removal Lemma for Groups. Journal of Combinatorial Theory, Series A, Vol.116 (No.4). pp. 971-978. doi:10.1016/j.jcta.2008.12.003 ISSN 0097-3165.
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Official URL: http://dx.doi.org/10.1016/j.jcta.2008.12.003
Abstract
Green [B. Green, A Szemerédi-type regularity lemma in abelian groups, with applications, Geom. Funct. Anal. 15 (2005) 340–376] established a version of the Szemerédi Regularity Lemma for abelian groups and derived the Removal Lemma for abelian groups as its corollary. We provide another proof of his Removal Lemma that allows us to extend its statement to all finite groups. We also discuss possible extensions of the Removal Lemma to systems of equations.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Combinatorial Theory, Series A | ||||
Publisher: | Elsevier BV | ||||
ISSN: | 0097-3165 | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.116 | ||||
Number: | No.4 | ||||
Page Range: | pp. 971-978 | ||||
DOI: | 10.1016/j.jcta.2008.12.003 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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