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math.GR2012
Images of word maps in finite simple groups
Alexander Lubotzky
In response to questions by Kassabov, Nikolov and Shalev, we show that a given subset of a finite simple group is the image of some word map if and on…
math.GR2012
Finiteness Properties and Profinite Completions
Alexander Lubotzky
In this note we show that various (geometric/homological) finiteness properties are not profinite properties. For example for every $1 \le k, \ell \le \bbn$, there exist two finite…