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The automorphism group of a multi-GGS group
Jan Moritz Petschick
A multi-GGS-group is a group of automorphisms of a regular rooted tree, generalising the Gupta--Sidki -groups. We compute the automorphism groups of all non-constant multi-GGS-g…
The derived series of GGS-groups
Jan Moritz Petschick
Given a GGS-group with non-constant defining tuple over a prime-regular rooted tree, we calculate the indices and describe the structure of the higher derived sub…
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…
Conjugacy classes of polyspinal groups
Jan Moritz Petschick, Anitha Thillaisundaram
Spinal groups and multi-GGS groups are both generalisations of the well-known Grigorchuk-Gupta-Sidki (GGS-)groups. Here we give a necessary condition for spinal groups to be conjug…
Groups of small period growth
Jan Moritz Petschick
We construct finitely generated groups of small period growth, i.e. groups where the maximum order of an element of word length grows very slowly in . This answers a questio…