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ON EXTENSIONS OF GROUPS OF FINITE EXPONENT

Published online by Cambridge University Press:  10 September 2003

PAVEL SHUMYATSKY
PAVEL SHUMYATSKY
Affiliation:
Department of Mathematics, University of Brasilia, Brasilia-DF, 70910-900 Brazil e-mail: pavel@ipe.mat.unb.br
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Abstract

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A well-known theorem of P. Hall says that if a group $G$ contains a normal nilpotent subgroup $N$ such that $G/N'$ is nilpotent then $G$ is nilpotent. We give a similar sufficient condition for a group $G$ to be an extension of a group of finite exponent by a nilpotent group.Supported by CNPq-Brazil.

Keywords

20F12
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 3 , September 2003 , pp. 535 - 538
Copyright
© 2003 Glasgow Mathematical Journal Trust