Powers in finite groups

  • Nikolay Nikolov

    University of Oxford, UK
  • Dan Segal

    University of Oxford, United Kingdom


If GG is a finitely generated profinite group then the verbal subgroup GqG^{q} is open. In a dd-generator finite group every product of qqth powers is a product of f(d,q)f(d,q) qqth powers.

Cite this article

Nikolay Nikolov, Dan Segal, Powers in finite groups. Groups Geom. Dyn. 5 (2011), no. 2, pp. 501–507

DOI 10.4171/GGD/136