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math.GR2007
On finite groups whose derived subgroup has bounded rank
Karoly Podoski, Balazs Szegedy
Let be a finite group with derived subgroup of rank . We prove that $\gzz\leq |G'|^{2r}$. Motivated by the results of I. M. Isaacs in \cite{isa} we show that if is capab…
math.CO2007★ 46 cited
Limits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach
Gabor Elek, Balazs Szegedy
We study the integral and measure theory of the ultraproduct of finite sets. As a main application we construct limit objects for hypergraph sequences. We give a new proof for the…