Periodica Mathematica Hungarica

, Volume 72, Issue 2, pp 218–223

On topological filtrations of groups

Article

Abstract

The (weak) geometric simple connectivity and the quasi-simple filtration are topological notions of manifolds, which may be defined for discrete groups too. It turns out that they are equivalent for finitely presented groups, but the main problem is the absence of examples of groups which do not satisfy them. In this note we study some algebraic classes of groups with respect to these properties.

Keywords

Weak geometric simple connectivity Quasi-simple filtration  Finitely presented groups Solvable groups 

Mathematics Subject Classification

Primary 20F16 20F24 Secondary 57M07 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2016

Authors and Affiliations

  1. 1.Institute of Mathematics and InformaticsVilnius UniversityVilniusLithuania
  2. 2.Department of Mathematics and Applied MathematicsUniversity of Cape TownCape TownSouth Africa

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