Large characteristic subgroups with modular subgroup lattice
Sign Up to like & getrecommendations! Published in 2018 at "Archiv der Mathematik"
DOI: 10.1007/s00013-018-1190-0
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… read more here.
Keywords: subgroup; modular subgroup; large characteristic; subgroup lattice ... See more keywords
A Note on Large Characteristic Subgroups
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Algebra"
DOI: 10.1080/00927872.2018.1448851
Abstract: ABSTRACT It is known that if a group G has an abelian subgroup of finite index n, then it contains an abelian characteristic subgroup A of index at most nn. The aim of this paper… read more here.
Keywords: subgroup; index; large characteristic; note large ... See more keywords