Journal article

### Centres of skewfields and completely faithful Iwasawa modules

Abstract:
Let H be a torsionfree compact p-adic analytic group whose Lie algebra is split semisimple. We show that the quotient skewfield of fractions of the Iwasawa algebra \Lambda_H of H has trivial centre and use this result to classify the prime c-ideals in the Iwasawa algebra \Lambda_G of G := H \times \Zp. We also show that a finitely generated torsion \Lambda_G-module having no non-zero pseudo-null submodule is completely faithful if and only if it is has no central torsion. This has an application to the study of Selmer groups of elliptic curves.

### Access Document

Publisher copy:
10.1017/S1474748008000169

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Journal of the Institute of Mathematics of Jussieu
Volume:
7
Issue:
3
Pages:
457-468
Publication date:
2007-10-29
DOI:
EISSN:
1475-3030
ISSN:
1474-7480
Source identifiers:
399408
Language:
English
Keywords:
Pubs id:
pubs:399408
UUID:
uuid:5c045efc-bcbf-445f-93f1-5a3a2737cbdd
Local pid:
pubs:399408
Deposit date:
2013-11-16