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Your search keyword '"20F67 (Primary), 20F65, 20F69 (Secondary)"' showing total 2 results
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2 results on '"20F67 (Primary), 20F65, 20F69 (Secondary)"'

1. Solvable Subgroup Theorem for simplicial nonpositive curvature

Author

Prytuła, Tomasz

Subjects
Mathematics - Group Theory, 20F67 (Primary), 20F65, 20F69 (Secondary)
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., Comment: 7 pages

Published
2017

2. Solvable Subgroup Theorem for simplicial nonpositive curvature

Author

Tomasz Prytuła

Subjects
Pure mathematics, General Mathematics, 010102 general mathematics, Group Theory (math.GR), Curvature, 01 natural sciences, Bounded function, 20F67 (Primary), 20F65, 20F69 (Secondary), 0103 physical sciences, FOS: Mathematics, Torsion (algebra), 010307 mathematical physics, Finitely-generated abelian group, 0101 mathematics, Abelian group, Mathematics - Group Theory, Mathematics
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., 7 pages

Published
2018
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