Alexander Cant

activity

20182023

collaborators

3 papers

math.GR2023

Torsion-free nilpotent groups of small Hirsch length with isomorphic finite quotients

Alexander Cant, Bettina Eick

Let $T$ denote the class of finitely generated torsion-free nilpotent groups. For a group $G$ let $F (G)$ be the set of isomorphism classes of finite quotients of $G$ . Pic…

math.GR2021

Galois trees in the graph of $p$ -groups of maximal class

Alexander Cant, Heiko Dietrich, Bettina Eick +1

The investigation of the graph $G_{p}$ associated with the finite $p$ -groups of maximal class was initiated by Blackburn (1958) and became a deep and interesting research t…

math.GR2018

Polynomials describing the multiplication in finitely generated torsion free nilpotent groups

Alexander Cant, Bettina Eick

A famous result of Hall asserts that the multiplication and exponentiation in finitely generated torsion free nilpotent groups can be described by rational polynomials. We describe…

Torsion-free nilpotent groups of small Hirsch length with isomorphic finite quotients

Galois trees in the graph of p-groups of maximal class

Polynomials describing the multiplication in finitely generated torsion free nilpotent groups

Galois trees in the graph of $p$ -groups of maximal class