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math.GR2022
The structure of groups with all proper quotients virtually nilpotent
Benjamin Klopsch, Martyn Quick
Just infinite groups play a significant role in profinite group theory. For each , we consider more generally JNNF profinite (or, in places, discrete) groups that are…
math.GR2022
Free polynilpotent groups and the Magnus property
Benjamin Klopsch, Luis Mendonça, Jan Moritz Petschick
Motivated by a classic result for free groups, one says that a group has the Magnus property if the following holds: whenever two elements generate the same normal subgroup of…
math.GR2022
The degree of commutativity of wreath products with infinite cyclic top group
Iker de las Heras, Benjamin Klopsch, Andoni Zozaya
The degree of commutativity of a finite group is the probability that two uniformly and randomly chosen elements commute. This notion extends naturally to finitely generated groups…