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math.GR2003★ 2 cited
Engel-like Identities Characterizing Finite Solvable Groups
Tatiana Bandman, Gert-Martin Greuel, Fritz Grunewald +3
In the paper we characterize the class of finite solvable groups by two-variable identities in a way similar to the characterization of finite nilpotent groups by Engel identities.…
math.GR2000
Analytic properties of zeta functions and subgroup growth
Marcus du Sautoy, Fritz Grunewald
In this paper we introduce some new methods to understand the analytic behaviour of the zeta function of a group. We can then combine this knowledge with suitable Tauberian theorem…