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
Large characteristic subgroups with modular subgroup lattice / DE GIOVANNI, Francesco; Trombetti, Marco. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - 111:2(2018), pp. 123-128. [10.1007/s00013-018-1190-0]
Large characteristic subgroups with modular subgroup lattice
Francesco de Giovanni;Marco Trombetti
2018
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 subgroupsFile in questo prodotto:
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