Some natural subgroups of the Nottingham group

Authors
Camina, R
Citation
R. Camina, Some natural subgroups of the Nottingham group, P EDIN MATH, 42, 1999, pp. 333-339
Citations number
10
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
ISSN journal
00130915 → ACNP
Volume
42
Year of publication
1999
Part
2
Pages
333 - 339
Database
ISI
SICI code
0013-0915(199906)42:<333:SNSOTN>2.0.ZU;2-C
Abstract
The Nottingham group can be described as the group of normalized automorphi sms of the ring F-p[[t]], namely, those automorphisms acting trivially on t F(p)[[t]]/t(2)F(p)[[t]]. In this paper we consider certain proper subgroups of the Nottingham group. We prove that these subgroups are identical to th eir normalizers and that some of them are isomorphic to the Nottingham grou p. 1991 Mathematics subject classification: 20E18.