7
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Soluble groups with no ZZ sections

      Preprint
      ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          In this article, we examine how the structure of soluble groups of infinite torsion-free rank with no section isomorphic to the wreath product of two infinite cyclic groups can be analysed. As a corollary, we obtain that if a finitely generated soluble group has a defined Krull dimension and has no sections isomorphic to the wreath product of two infinite cyclic groups then it is a group of finite torsion-free rank. There are further corollaries including applications to return probabilities for random walks. The paper concludes with constructions of examples that can be compared with recent constructions of Brieussel and Zheng.

          Related collections

          Most cited references9

          • Record: found
          • Abstract: not found
          • Article: not found

          Finiteness Conditions for Soluble Groups

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Almost finitely presented soluble groups

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              On Finitely Generated Soluble Groups With No Large Wreath Product Sections

                Bookmark

                Author and article information

                Journal
                29 May 2018
                Article
                1805.11497
                d893ead0-c904-4fb6-9aa0-f0e0ead80d4f

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                20J05, 20E22
                math.GR

                Algebra
                Algebra

                Comments

                Comment on this article