Generalized norms of groups

Maryna G. Drushlyak ; Tetyana D. Lukashova ; Fedir M. Lyman

Algebra and discrete mathematics, Tome 22 (2016) no. 1, pp. 48-81.

Résumé

In this survey paper the authors specify all the known findings related to the norms of the group and their generalizations. Special attention is paid to the analysis of their own study of different generalized norms, particularly the norm of non-cyclic subgroups, the norm of Abelian non-cyclic subgroups, the norm of infinite subgroups, the norm of infinite Abelian subgroups and the norm of other systems of Abelian subgroups.

Détail

Keywords: norm of group, generalized norm, Wielandt subgroup, norm of non-cyclic subgroups, norm of Abelian non-cyclic subgroups, norm of infinite subgroups, norm of infinite Abelian subgroups, norm of decomposable subgroups.

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