Journal article

Powers in finite groups

Abstract:: In this note we prove that if $G$ is a finitely generated profinite group then the verbal subgroup $G^{q}$ is open. Equivalently in a $d$-generator finite group every product of $q$th powers is a product of $f(d,q)$ $q$th powers.

Publication status:: Published

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APA Style

Segal, D., & Nikolov, N. (2009). Powers in finite groups. GROUPS GEOMETRY AND DYNAMICS, 5(2), 501–507.

MLA Style

Segal, D, and N Nikolov. “Powers in Finite Groups.” GROUPS GEOMETRY AND DYNAMICS, vol. 5, no. 2, 2009, pp. 501–07.

Chicago Style

Segal, D, and N Nikolov. 2009. “Powers in Finite Groups.” GROUPS GEOMETRY AND DYNAMICS 5 (2): 501–7.
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Publisher copy:: 10.4171/GGD/136

Authors

+ Segal, D More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Nikolov, N More by this author

Role:: Author

Journal:: GROUPS GEOMETRY AND DYNAMICS More from this journal
Volume:: 5
Issue:: 2
Pages:: 501-507
Publication date:: 2009-09-25
DOI:: 10.4171/GGD/136
EISSN:: 1661-7215
ISSN:: 1661-7207

Language:: English
Keywords:: 20E20, 20F20

math.GR
Pubs id:: pubs:132420
UUID:: uuid:28e6fad9-44fd-4d41-8a92-550de300abf7
Local pid:: pubs:132420
Source identifiers:: 132420
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_28e6fad944fd4d418a92550de300abf7

Terms of use

Copyright date:: 2009
Notes:: 7 pages

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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