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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Classification of metabelian $ p$-groups


Author: Wu Nan Chou
Journal: Trans. Amer. Math. Soc. 294 (1986), 151-176
MSC: Primary 20D15; Secondary 20F12
MathSciNet review: 819940
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Abstract: Let $ G$ be a two-generator metabelian group of exponent $ p$ with class of nilpotence $ c$, where $ c \leqslant p - 1$ and $ p$ is an odd prime. In this paper, we shall consider the classification problem when $ \vert{G_2}/{G_3}\vert = p$, $ \vert{G_3}/{G_4}\vert = {p^2}$and $ \vert{G_4}/{G_5}\vert \leqslant {p^2}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0819940-1
PII: S 0002-9947(1986)0819940-1
Keywords: $ p$-groups, metabelian groups
Article copyright: © Copyright 1986 American Mathematical Society