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math.GR2023
Gassmann triples with special cycle types and applications
Holger Kammeyer, Steffen Kionke
We show that if one of various cycle types occurs in the permutation action of a finite group on the cosets of a given subgroup, then every almost conjugate subgroup is conjugate.…
math.GR2023
From telescopes to frames and simple groups
Steffen Kionke, Eduard Schesler
We introduce the notion of a telescope of groups. Very roughly a telescope is a directed system of groups that contains various commuting images of some fixed group . Telescopes…
math.GR2023
On representations of direct products and the bounded generation property of branch groups
Steffen Kionke, Eduard Schesler
We prove that the minimal representation dimension of a direct product of non-abelian groups is bounded below by and thereby answer a question of Abért.…