THE RANK AND COEXPONENT OF A FINITE P-GROUP

Yujie MA

系统科学与复杂性(英文) ›› 2006, Vol. 19 ›› Issue (1) : 88-092.

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PDF(96 KB)
系统科学与复杂性(英文) ›› 2006, Vol. 19 ›› Issue (1) : 88-092.
论文

THE RANK AND COEXPONENT OF A FINITE P-GROUP

    Yujie MA
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THE RANK AND COEXPONENT OF A FINITE P-GROUP

    Yujie MA
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摘要

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.

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.

关键词

Coexponent / finite p-group / rank

Key words

Coexponent / finite p-group / rank

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Yujie MA. THE RANK AND COEXPONENT OF A FINITE P-GROUP. 系统科学与复杂性(英文), 2006, 19(1): 88-092
Yujie MA. THE RANK AND COEXPONENT OF A FINITE P-GROUP. Journal of Systems Science and Complexity, 2006, 19(1): 88-092
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