Geodesic
Powers in finite groups
Nikolay Nikolov1 ; Dan Segal2
1University of Oxford, UK
2University of Oxford, United Kingdom
Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 501-507

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DOI

If G is a finitely generated profinite group then the verbal subgroup Gq is open. In a d-generator finite group every product of qth powers is a product of f(d,q) qth powers.
DOI : 10.4171/ggd/136
Classification : 20-XX, 00-XX
Mots-clés : Power subgroups, verbal width, profinite groups

Nikolay Nikolov  1   ; Dan Segal  2

1 University of Oxford, UK
2 University of Oxford, United Kingdom 
Nikolay Nikolov; Dan Segal. Powers in finite groups. Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 501-507. doi: 10.4171/ggd/136
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     title = {Powers in finite groups},
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     number = {2},
     doi = {10.4171/ggd/136},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/136/}
}
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