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 language | English |
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Pages (from-to) | 745-748 |
Number of pages | 4 |
Journal | Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University |
Volume | 24 |
Issue number | 6 |
State | Published - Dec 2006 |
Keywords
- Augmentation quotient group
- Finite p-group
- N-series
- Rank