Omega subgroups of pro-<Emphasis Type="Italic">p</Emphasis> groups |
| |
| Authors: | Gustavo A Fernández-Alcober Jon González-Sánchez Andrei Jaikin-Zapirain |
| |
| Institution: | (1) Matematika Saila, Euskal Herriko Unibertsitatea, 48080 Bilbao, Spain;(2) Department of Mathematics and Computing Science, Rijksuniversiteit Groningen, 9700 AV Groningen, Netherlands;(3) Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain |
| |
| Abstract: | Let G be a pro-p group and let k ≥ 1. If γ
k(p−1) (G) ≤ γ
r
 for some r and s such that k(p − 1) < r + s(p − 1), we prove that the exponent of Ωi(G) is at most p
i+k−1 for all i.
Supported by the Spanish Ministry of Science and Education, grant MTM2004-04665, partly with FEDER funds.
The first author is also supported by the University of the Basque Country, grant UPV05/99.
The second author is also supported by the Basque Government. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
