Subgroups of pro-p PD3-groups
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| প্রকাশনার তারিখ: | 2021 |
| অন্যান্য লেখক: | |
| বিন্যাস: | Article |
| ভাষা: | eng |
| সম্পদ: | Repositório Institucional da UnB |
| Download full: | https://repositorio.unb.br/handle/10482/43782 https://doi.org/10.1007/s00605-020-01505-5 https://orcid.org/ 0000-0001-7418-7144 |
সংক্ষিপ্ত: | We study 3-dimensional Poincaré duality pro-p groups in the spirit of the work by Robert Bieri and Jonathan Hillmann, and show that if such a pro-p group G has a nontrivial finitely presented subnormal subgroup of infinite index, then either the subgroup is cyclic and normal or the subgroup is cyclic and the group is polycyclic or the subgroup is Demushkin and normal in an open subgroup of G. Also, we describe the centralizers of finitely generated subgroups of 3-dimensional Poincaré duality pro-p groups. |