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Some Observations Regarding the Holomorphs of Finite Abelian Groups

Walter Becker
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Abstract

Presentations for the holomorphs of abelian groups of the form $C_{p^n} \times 1^{m}$ for $p$=2 or an odd prime are given. These presentations extend the results given in Burnside's well-known text on finite groups on the holomorphs for the cyclic groups of orders $p^n$ for $p$ being an odd or even prime.

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Walter Becker. 2006-09-20. Some Observations Regarding the Holomorphs of Finite Abelian Groups. https://arxiv.org/abs/math/0609571

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