Euler characteristics and compact p-adic Lie groups
Representation Theory
2009-10-08 v2
Abstract
We discuss Euler characteristics for finitely generated modules over Iwasawa algebras. We show that the Euler characteristic of a module is well-defined whenever the 0th homology group is finite if and only if the relevant compact p-adic Lie group is finite-by-nilpotent and that in this case all pseudo-null modules have trivial Euler characteristic. We also prove some other results relating to the triviality of Euler characteristics for pseudo-null modules. We also prove some analogous results for the Akashi series of Coates et al.
Cite
@article{arxiv.0909.3763,
title = {Euler characteristics and compact p-adic Lie groups},
author = {Simon Wadsley},
journal= {arXiv preprint arXiv:0909.3763},
year = {2009}
}
Comments
10 pages New material on Akashi series added; consequential restructuring done including substantial rewriting of the introduction