Large characteristic subgroups in which normality is a transitive relation
Francesco de Giovanni
Università degli Studi di Napoli Federico II, ItalyMarco Trombetti
Università degli Studi di Napoli Federico II, Italy
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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 study the corresponding question when abelian subgroups are replaced by subgroups in which normality is a transitive relation.
Cite this article
Francesco de Giovanni, Marco Trombetti, Large characteristic subgroups in which normality is a transitive relation. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 2, pp. 255–268
DOI 10.4171/RLM/846