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Algebra and Discrete Mathematics, 2016, Volume 22, Issue 1, Pages 48–81
(Mi adm574)
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This article is cited in 4 scientific papers (total in 4 papers)
SURVEY ARTICLE
Generalized norms of groups
Maryna G. Drushlyak, Tetyana D. Lukashova, Fedir M. Lyman Sumy State University, Romenska Str. 87, 40002 Sumy, Ukraine
Abstract:
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.
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.
Received: 22.01.2016 Revised: 24.02.2016
Citation:
Maryna G. Drushlyak, Tetyana D. Lukashova, Fedir M. Lyman, “Generalized norms of groups”, Algebra Discrete Math., 22:1 (2016), 48–81
Linking options:
https://www.mathnet.ru/eng/adm574 https://www.mathnet.ru/eng/adm/v22/i1/p48
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