Geodesic
Change of Selmer group for big Galois representations and application to normalization
Documenta mathematica, Tome 16 (2011), pp. 885-899.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The goal of this note is to prove, under some assumptions, a formula relating the Selmer groups of isogenous Galois representations. Local and global Euler-Poincaré characteristic formulas are key tools in the proof. With additional hypotheses, we use the isogeny formula to study how the formation of Selmer groups interacts with normalization of the coefficient ring and discuss how a main conjecture for a big Galois representation over a non-normal ring follows from a corresponding conjecture over the normalization.
Classification : 11R23, 11R34
Keywords: Iwasawa theory, Selmer group, Galois cohomology 
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     author = {Arnold, Trevor and Koo, Koopa Tak-Lun},
     title = {Change of {Selmer} group for big {Galois} representations and application to normalization},
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Arnold, Trevor; Koo, Koopa Tak-Lun. Change of Selmer group for big Galois representations and application to normalization. Documenta mathematica, Tome 16 (2011), pp. 885-899. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a4/