Powers in finite groups

  • Nikolay Nikolov

    University of Oxford, UK
  • Dan Segal

    University of Oxford, United Kingdom


If is a finitely generated profinite group then the verbal subgroup is open. In a -generator finite group every product of th powers is a product of th 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