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Type: Artigo de periódico
Title: On The Topological Invariants Σtop 1 And Σ2 Top For Extensions Of (lie Groups Over A P-adic Field)-by-abelian Groups
Author: Kochloukova D.H.
Abstract: For G a locally compact group and i = 1, 2 we define topological versions Σi top (G) of the geometric homotopical invariants Σ1 and Σ2 of discrete groups. We calculate Σ1 top (G) and Σ2 top (G) for G = exp (η) ⋊ Q, η a nilpotent Lie algebra over a local p-adic field K and Q an abstract free abelian group of finite rank that acts on exp η via topological automorphisms. An important part of the structure of η is that it splits as a direct sum of one-dimensional (over K) K [Q]-modules. We conjecture the structure of the Bieri-Strebel-Renz invariant Σ2 (H) for a discrete nilpotent-by-abelian S-arithmetic group H. The invariant Σ2 (H) characterizes the finitely presented subgroups of H that contain the commutator. © 2004 Elsevier Inc. All rights reserved.
Rights: fechado
Identifier DOI: 10.1016/j.jalgebra.2004.08.018
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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