Results 1 to 10 of about 4,317 (227)
Mathematics, 2018 In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called the good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup.
R A Borzooei, Borzooei Rajab Ali
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Pseudocomplete nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 1983 Semicomplete nilpotent groups, that is, nilpotent groups with no outer automorphisms, have been of interest for many years. In this paper pseudocomplete nilpotent groups, that is, nilpotent groups in which the automorphism group and the inner ...
Thomas A. Fournelle
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Nilpotent schemes and group-like schemes
Journal of Combinatorial Theory - Series A, 2008 We give a definition of nilpotent association schemes as a generalization of nilpotent groups and investigate their basic properties. Moreover, for a group-like scheme, we characterize the nilpotency by its character products.
Akihide Hanaki
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Group nilpotency from a graph point of view [PDF]
International Journal of Group Theory, 2023 Let $\Gamma_G$ denote a graph associated with a group $G$. A compelling question about finite groups asks whether or not a finite group $H$ must be nilpotent provided $\Gamma_H$ is isomorphic to $\Gamma_G$ for a finite nilpotent group $G$. In the present
Valentina Grazian +2 more
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The fuzzy subgroups for the nilpotent ( p-group) of (d23 × c2m) for m ≥ 3 [PDF]
Journal of Fuzzy Extension and Applications, 2022 A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adebisi +2 more
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Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index
Journal of Harbin University of Science and Technology, 2023 In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
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Formalized Mathematics, 2010 Nilpotent Groups This article describes the concept of the nilpotent group and some properties of the nilpotent groups.
Li, Dailu, Liang, Xiquan, Men, Yanhong
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Characterization of finite groups with a unique non-nilpotent proper subgroup [PDF]
International Journal of Group Theory, 2021 We characterize finite non-nilpotent groups $G$ with a unique non-nilpotent proper subgroup. We show that $|G|$ has at most three prime divisors. When $G$ is supersolvable we find the presentation of $G$ and when $G$ is non-supersolvable we show ...
Bijan Taeri, Fatemeh Tayanloo-Beyg
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Eurasian Journal of Science and Engineering, 2017 In this paper we study semi nilpotent elements in rings. It is shown that every element of Z nwhere n is square free is a trivial semi nilpotent. It is proved that every nontrivial nilpotent element is a nontrivial semi nilpotent.
Kurdistan M. Ali , Parween A. Hummadi
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On n-Nilpotent Groups and n-Nilpotency of n-Abelian Groups [PDF]
Mathematics Interdisciplinary Research, 2020 The concept of n-nilpotent groups was introduced by Moghaddam and Mashayekhy in 1991 which is in a way a generalized version of the notion of nilpotent groups.
Azam Pourmirzaei, Yaser Shakourie
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