Fuzzy subgroups of nilpotent groups (Q1319432)

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scientific article; zbMATH DE number 550080
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Fuzzy subgroups of nilpotent groups
scientific article; zbMATH DE number 550080

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    Fuzzy subgroups of nilpotent groups (English)
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    19 April 1994
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    A series of papers by the authors is devoted to the examination of finite groups characterized by properties of fuzzy subgroups [cf. e.g.: \textit{M. Asaad}, ibid. 39, 323-328 (1991; Zbl 0718.20036); \textit{S. Abou-Zaid}, ibid. 43, 235-241 (1991; Zbl 0755.20019); \textit{M. Asaad, S. Abou-Zaid}, ibid. 56, 375-377 (1993; Zbl 0803.20058)]. This note characterizes finite Abelian groups and finite nilpotent groups by suitable properties of their fuzzy subgroups.
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    finite groups
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    fuzzy subgroups
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    finite Abelian groups
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    finite nilpotent groups
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