ON EXTENSIONS OF GROUPS OF FINITE EXPONENT
Glasgow mathematical journal, Tome 45 (2003) no. 3, pp. 535-538
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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.
SHUMYATSKY, PAVEL. ON EXTENSIONS OF GROUPS OF FINITE EXPONENT. Glasgow mathematical journal, Tome 45 (2003) no. 3, pp. 535-538. doi: 10.1017/S0017089503001435
@article{10_1017_S0017089503001435,
author = {SHUMYATSKY, PAVEL},
title = {ON {EXTENSIONS} {OF} {GROUPS} {OF} {FINITE} {EXPONENT}},
journal = {Glasgow mathematical journal},
pages = {535--538},
year = {2003},
volume = {45},
number = {3},
doi = {10.1017/S0017089503001435},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001435/}
}
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