The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups
نویسندگان
چکیده
منابع مشابه
Representations of Locally Compact Totally Disconnected Groups
Let G be a locally compact totally disconnected group. Recall that every neighborhood of 1 in G contains a compact open subgroup. If G is assumed to be compact, then every neighborhood of 1 in G contains a compact open normal subgroup. On the other hand, it follows from properties of Lie groups that the group GL(n,C) has the property that there is some neighborhood of the identity which contain...
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Let α be an automorphism of the totally disconnected group G. The compact open subgroup, V , of G is tidy for α if [α(V ) : α(V ) ∩ V ] is minimised at V , where V ′ ranges over all compact open subgroups of G. Identifying a subgroup tidy for α is analogous to identifying a basis which puts a linear transformation into Jordan canonical form. This analogy is developed here by showing that commut...
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The Margulis-Zimmer conjecture. The subject of this paper is a well known question advertised by Gregory Margulis and Robert Zimmer since the late 1970’s, which seeks refinement of the celebrated Normal Subgroup Theorem of Margulis (hereafter abbreviated NST). Although Margulis’ NST is stated and proved in the context of (higher rank) irreducible lattices in products of simple algebraic groups ...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2014
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-014-1074-y