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Large characteristic subgroups with modular subgroup lattice

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It is known that if a group contains an abelian subgroup of finite index, then it also has an abelian characteristic subgroup of finite index. The aim of this paper… Click to show full abstract

It is known that if a group contains an abelian subgroup of finite index, then it also has an abelian characteristic subgroup of finite index. The aim of this paper is to prove that corresponding results hold when abelian subgroups are replaced either by subgroups having a modular subgroup lattice or by quasihamiltonian subgroups.

Keywords: subgroup; modular subgroup; large characteristic; subgroup lattice; subgroups modular

Journal Title: Archiv der Mathematik
Year Published: 2018

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