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Integral Representations of Cyclic Groups of Order $p^2$

Irving Reiner
Proceedings of the American Mathematical Society
Vol. 58, No. 1 (Jul., 1976), pp. 8-12
DOI: 10.2307/2041351
Stable URL: http://www.jstor.org/stable/2041351
Page Count: 5
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Abstract

Let $p$ be an odd prime, either regular or properly irregular, and let $G$ be a cyclic group of order $p^2$. The author determines a full set of inequivalent representations of $G$ by matrices with rational integral entries. This information is used to calculate the ideal class number of the integral group ring $ZG$.

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