Demonstrates non-trivial rigid kernels in commutator subgroups of a family of branch groups, implying new insights into their structure.
In this paper we present a family of branch groups that extend the Hanoi Tower group on three pegs in such a manner that many key properties that lead to it having non-trivial rigid kernel are preserved and explicitly calculate the rigid kernel of the commutator subgroups of this family, showing them to be non-trivial.
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Dantas et al. (2026) studied this question.
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