Journal article icon

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.

Actions


Access Document


Publisher copy:
10.1017/S1474748008000169

Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
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
URN:
uuid:5c045efc-bcbf-445f-93f1-5a3a2737cbdd
Source identifiers:
399408
Local pid:
pubs:399408
Language:
English
Keywords:

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP