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math.GR2023
Torsion-free nilpotent groups of small Hirsch length with isomorphic finite quotients
Alexander Cant, Bettina Eick
Let denote the class of finitely generated torsion-free nilpotent groups. For a group let be the set of isomorphism classes of finite quotients of . Pic…
math.GR2023
The origins of Coclass Theory
Heiko Dietrich, Bettina Eick
In 1980, Leedham-Green and Newman introduced the invariant coclass to the theory of groups of prime-power order and they proposed five far-reaching conjectures related to it. Their…