The finite images of finitely generated groups

By D. Segal. 2001

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On exponential growth and uniformly exponential growth for groups (2004, methodology): “Finitely generated examples were first constructed by Neumann [9], and further groups of a similar type appear in Segal [ 12 ].”
Group Laws and Free Subgroups in Topological Groups (2003, background): “Examples are the first Grigorchuk group [7], Wilson’s group of non-uniform exponential growth [18], Segal’s group of slow subgroup growth [11], and the group constructed by Grigorchuk and Zuk in [8], which is not in the class SG but (as Bartholdi and Virág have recently shown in [2]) is amenable.”
A Finitary Version of Gromov’s Polynomial Growth Theorem (2009, background): “It has been shown in [25] that here no super-polynomial bound could yield the same characterization as the polynomial one, of being virtually solvable of finite rank (a remarkable result of Lubotzky, Mann and Segal [15], which relies, among other things, on Lazard’s deep p-adic analogue of Hilbert’s”
Representation Growth of Linear Groups (2006, background): “Now if we look at V (p) = {v | v / ∈ S , v|p} i.e.”
Finite generation of iterated wreath products (2010, methodology): “Segal [11] and others to construct certain groups with interesting properties.”