Solvable Subgroup Theorem for simplicial nonpositive curvature
Solvable Subgroup Theorem for simplicial nonpositive curvature
Given a group (Formula presented.) with bounded torsion that acts properly on a systolic complex, we show that every solvable subgroup of (Formula presented.) is finitely generated and virtually abelian of rank at most (Formula presented.). In particular, this gives a new proof of the above theorem for systolic groups. The main tools used in the proof are the Product Decomposition Theorem and the Flat Torus Theorem.
Solvable Subgroup Theorem, Systolic complex
1-7
Prytuła, Tomasz
8540bd1f-b0fd-40e8-b6d8-72c80cb05fdf
Prytuła, Tomasz
8540bd1f-b0fd-40e8-b6d8-72c80cb05fdf
Prytuła, Tomasz
(2018)
Solvable Subgroup Theorem for simplicial nonpositive curvature.
International Journal of Algebra and Computation, .
(doi:10.1142/S0218196718500273).
Abstract
Given a group (Formula presented.) with bounded torsion that acts properly on a systolic complex, we show that every solvable subgroup of (Formula presented.) is finitely generated and virtually abelian of rank at most (Formula presented.). In particular, this gives a new proof of the above theorem for systolic groups. The main tools used in the proof are the Product Decomposition Theorem and the Flat Torus Theorem.
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- Accepted Manuscript
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Accepted/In Press date: 4 April 2018
e-pub ahead of print date: 31 May 2018
Keywords:
Solvable Subgroup Theorem, Systolic complex
Identifiers
Local EPrints ID: 421836
URI: http://eprints.soton.ac.uk/id/eprint/421836
ISSN: 0218-1967
PURE UUID: 55c9c0df-3f65-4beb-9647-cb93fd2d7143
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Date deposited: 29 Jun 2018 16:30
Last modified: 16 Mar 2024 06:45
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Author:
Tomasz Prytuła
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