A Necessary Condition for The Residual Nilpotence of HNN-Extensions
- 作者: Sokolov E.1
-
隶属关系:
- Ivanovo State University
- 期: 卷 39, 编号 2 (2018)
- 页面: 281-285
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201684
- DOI: https://doi.org/10.1134/S1995080218020257
- ID: 201684
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详细
Let G be amultiple HNN-extension of a group A, and let all its associated subgroups be properly contained in some locally nilpotent subgroup of A. We prove that if G is residually nilpotent, then all the associated subgroups are p′-isolated in A for some prime p. Moreover, if q is a prime such that G is residually a q′-torsion-free nilpotent group, then p = q.
作者简介
E. Sokolov
Ivanovo State University
编辑信件的主要联系方式.
Email: ev-sokolov@yandex.ru
俄罗斯联邦, Ivanovo, 153025