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math.GR2012★ 40 cited
Golod-Shafarevich groups: a survey
Mikhail Ershov
In this paper we survey the main results about Golod-Shafarevich groups and their applications in algebra, number theory and topology.
math.GR2012
The first -Betti number and approximation in arbitrary characteristic
Mikhail Ershov, Wolfgang Lueck
Let G be a finitely generated group and (G_i) a descending chain of finite index normal subgroups of G. Given a field K, we consider the sequence b_1(G_i;K)/[G:G_i] of normalized f…