Pro-p groups with waists

JOURNAL OF ALGEBRA

卷:351

Article

Gavioli, Norberto¹  Monti, Valerio²  Scoppola, Carlo Maria¹ 

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67010 Laquila, AQ, Italy

[2] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat Sci Applica, I-00161 Rome, Italy

关键词: Pro-p groups;    Normal subgroups;    Central series;   

DOI  :  10.1016/j.jalgebra.2011.11.022

来源: Elsevier

【 摘 要 】

A waist W of a pro-p group G is a subgroup which is comparable with any open normal subgroup of G. The position of W with respect to the terms of a central series of G is studied here. If p is odd, with some natural hypotheses we show that W is a term of both the lower and upper central series of G. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free