Solvable Subgroup Theorem for simplicial nonpositive curvature

2017/07/25 by Prytuła, Tomasz
#20F65 #20F67 (Primary) #20F69 (Secondary) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1707.07918

Abstract

Given a group G with bounded torsion that acts properly on a systolic complex, we show that every solvable subgroup of G is finitely generated and virtually abelian of rank at most 2. 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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