On structure of an augmentation quotient group with Np-series

Hongmei Zhao, Wei Xu, Guoping Tang

Research output: Contribution to journalArticlepeer-review

Abstract

Theorem 1 in this paper is taken from the paper by G. Losey and N. Losey5. We consider Theorem 1 to be highly significant and apply it to obtaining the rank of a certain augmentation quotient group by proposing Theorem 3 and giving its complete proof. We now state Theorem 3 as follows: 'Let G be nonabelian elementatry finite p-group (p ′ p≠2 with order p4, and let H be Np-series of G with t1 = 3, t2 = 1, c = 2. Then, Qn(G) is an abelian elementary p-group with rank 1/2(p+1)(pZ+p+1) for all n≥3p-2'.

Original languageEnglish
Pages (from-to)745-748
Number of pages4
JournalXibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University
Volume24
Issue number6
StatePublished - Dec 2006

Keywords

  • Augmentation quotient group
  • Finite p-group
  • N-series
  • Rank

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