In [T. W. Müller, An arithmetic theorem related to groups of bounded nilpotency class, J. Algebra 300 (2006), 10-15] T. W. Müller characterizes the positive integers n satisfying the property that every group of order n is nilpotent of class bounded by a fixed positive integer c. In this article a different proof of the above result will be given.
@article{BUMI_2012_9_5_1_121_0,
author = {Alessio Russo},
title = {On Numbers which are Orders of Nilpotent Groups Only},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {5},
year = {2012},
pages = {121-124},
zbl = {1251.20026},
mrnumber = {2919652},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2012_9_5_1_121_0}
}
Russo, Alessio. On Numbers which are Orders of Nilpotent Groups Only. Bollettino dell'Unione Matematica Italiana, Tome 5 (2012) pp. 121-124. http://gdmltest.u-ga.fr/item/BUMI_2012_9_5_1_121_0/
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