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math.GR2026
The Basilica group of the Grigorchuk-Erschler group
Karthika Rajeev, Anitha Thillaisundaram
Francoeur and Garrido recently provided the first explicit examples of finitely generated branch groups with maximal subgroups of infinite index, where one of their examples is the…
math.GR2024
Maximal subgroups of a family of iterated monodromy groups
Karthika Rajeev, Anitha Thillaisundaram
The Basilica group is a well-known 2-generated weakly branch, but not branch, group acting on the binary rooted tree. Recently a more general form of the Basilica group has been in…