A local study of group classes

Authors

  • Maria Ferrara
  • Marco Trombetti

DOI:

https://doi.org/10.1285/i15900932v40n2p1

Keywords:

hamiltonian group, quasihamiltonian group, group class defined by an iteration process

Abstract

It was established in [15] that the class of groups with a finite commutator subgroup can be locally described by locally graded groups having a bound on the length of particular chains of non-normal subgroups. This approximation was later extended to groups having a finite normal subgroup whose factor group has no non-permutable subgroups (see [18]). The aim of this paper is to show that these approximating group classes behave better than the classes they approximate, and can be used to derive new results on these.

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Published

17-02-2021

Issue

Volume 40, Issue 2 (2020)

Section

Articoli

License

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