On P-saturable groups

Jon Gonzalez-Sanchez

doi:10.1016/j.jalgebra.2007.02.005

On P-saturable groups

Jon Gonzalez-Sanchez^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

13 Citations (Scopus)

Abstract

A pro-p group G is a PF-group if it hits central series of closed subgroups (Ni)(i is an element of N), with trivial intersection satisfying N-1 = G and [N-l. G.(p-1)..,G]

Original language	English
Pages (from-to)	809-823
Number of pages	15
Journal	Journal of algebra
Volume	315
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2007.02.005
Publication status	Published - 15-Sep-2007

Keywords

pro-p groups
p-Saturable
PF-groups
p-Adic analytic
Lazard
powerful
uniformly powerful
Potent
SUBGROUPS

Access to Document

10.1016/j.jalgebra.2007.02.005

Cite this

@article{65ec6b64407e43878bc8f613b37935b7,

title = "On P-saturable groups",

abstract = "A pro-p group G is a PF-group if it hits central series of closed subgroups (Ni)(i is an element of N), with trivial intersection satisfying N-1 = G and [N-l. G.(p-1)..,G]",

keywords = "pro-p groups, p-Saturable, PF-groups, p-Adic analytic, Lazard, powerful, uniformly powerful, Potent, SUBGROUPS",

author = "Jon Gonzalez-Sanchez",

year = "2007",

month = sep,

day = "15",

doi = "10.1016/j.jalgebra.2007.02.005",

language = "English",

volume = "315",

pages = "809--823",

journal = "Journal of algebra",

issn = "0021-8693",

publisher = "ACADEMIC PRESS INC ELSEVIER SCIENCE",

number = "2",

}

TY - JOUR

T1 - On P-saturable groups

AU - Gonzalez-Sanchez, Jon

PY - 2007/9/15

Y1 - 2007/9/15

N2 - A pro-p group G is a PF-group if it hits central series of closed subgroups (Ni)(i is an element of N), with trivial intersection satisfying N-1 = G and [N-l. G.(p-1)..,G]

AB - A pro-p group G is a PF-group if it hits central series of closed subgroups (Ni)(i is an element of N), with trivial intersection satisfying N-1 = G and [N-l. G.(p-1)..,G]

KW - pro-p groups

KW - p-Saturable

KW - PF-groups

KW - p-Adic analytic

KW - Lazard

KW - powerful

KW - uniformly powerful

KW - Potent

KW - SUBGROUPS

U2 - 10.1016/j.jalgebra.2007.02.005

DO - 10.1016/j.jalgebra.2007.02.005

M3 - Article

VL - 315

SP - 809

EP - 823

JO - Journal of algebra

JF - Journal of algebra

SN - 0021-8693

IS - 2

ER -