Geodesic
On the lattice of f-subgroups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 600-613

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In this paper we introduce the notions of f-subgroups and normal f-subgroups as natural generalizations of subgroups, normal subgroups and group topologies. It will be proved that the set of all f-subgroups on a group is a lattice containing the lattice of all normal f-subgroups as a sublattice. Some open questions are also presented.
Keywords: group topology, f-subgroup, normal f-subgroup. 
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     title = {On the lattice of f-subgroups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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H. Khass; A. R. Ashrafi; B. Bazigaran. On the lattice of f-subgroups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 600-613. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a16/