Topological Jordan decompositions

Details Topological Jordan decompositions Topological Jordan decompositions

2006-12-18

arxiv.org/abs/math/0612475v2

J. Algebra 319 (2008), no. 8, 3141--3163

Mathematics

Group Theory

28 pages

Scientific paper

The notion of a topological Jordan decomposition of a compact element of a
reductive p-adic group has proven useful in many contexts. In this paper, we
generalise it to groups defined over fairly general discretely-valued fields
and prove the usual existence and uniqueness properties, as well as an analogue
of a fixed-point result of Prasad and Yu.

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