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The Rank and Coexponent of a Finite P-Group

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Abstract

In this paper, we present a sharp bound for the rank of a finite p-group in terms of its coexponent. As to finite p-groups with p odd, we also give a sufficient condition for which the normal rank is equal to its rank.

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Authors and Affiliations

  1. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Yujie Ma

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  1. Yujie Ma
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Correspondence to Yujie Ma.

Additional information

The author is partially supported by the National Key Basic Research Science Foundation of China (No. 2004CB318000) and the National Natural Science Foundation of China (No. 10301032).

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Ma, Y. The Rank and Coexponent of a Finite P-Group. Jrl Syst Sci & Complex 19, 88–92 (2006). https://doi.org/10.1007/s11424-006-0088-2

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  • DOI: https://doi.org/10.1007/s11424-006-0088-2

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