Exponent of self-similar finite -groups

  • Alex C. Dantas

    Universidade de Brasília, Brazil
  • Emerson de Melo

    Universidade de Brasília, Brazil
Exponent of self-similar finite $p$-groups cover

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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