Exponent of self-similar finite -groups
Alex C. Dantas
Universidade de Brasília, BrazilEmerson de Melo
Universidade de Brasília, Brazil
Abstract
Let be a prime and a pro- group of finite rank that admits a faithful, self-similar action on the -ary rooted tree. We prove that if the set is a nontrivial subgroup for some , then is a finite -group with exponent at most . This applies, in particular, to power abelian -groups.
Cite this article
Alex C. Dantas, Emerson de Melo, Exponent of self-similar finite -groups. Groups Geom. Dyn. (2023), published online first
DOI 10.4171/GGD/754