Results 21 to 30 of about 5,597,312 (370)
On CSQ-normal subgroups of finite groups
Open Mathematics, 2016 We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups.
Xu Yong, Li Xianhua
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Some Notes on Relative Commutators
InPrime, 2020 Let G be a group and α ϵ Aut(G). An α-commutator of elements x, y ϵ G is defined as [x, y]α = x-1y-1xyα. In 2015, Barzegar et al. introduced an α-commutator of elements of G and defined a new generalization of nilpotent groups by using the definition of
Masoumeh Ganjali, Ahmad Erfanian
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A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 A Pythagorean fuzzy set (PFS) is a very efficient and powerful tool for handling uncertainty and vagueness. In this paper, we present the notion of (𝛼, 𝛽) -Pythagorean fuzzy set (PFS) as a generalisation of Pythagorean fuzzy set (PFS). We propose a new
Supriya Bhunia, Ganesh Ghorai
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Efficient quantum algorithms for some instances of the non-Abelian hidden subgroup problem [PDF]
, 2001 In this paper we show that certain special cases of the hidden subgroup problem can be solved in polynomial time by a quantum algorithm. These special cases involve finding hidden normal subgroups of solvable groups and permutation groups, finding hidden
Ivanyos, Gabor +2 more
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, 2020 10 pages; to appear in DMTCS Proceedings (Formal Power Series and Algebraic Combinatorics)
Arreche, Carlos E., Williams, Nathan F.
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Pseudocomplementation in (Normal) Subgroup Lattices [PDF]
Communications in Algebra, 2010 The goal of this article is to study finite groups admitting a pseudocomplemented subgroup lattice (PK-groups) or a pseudocomplemented normal subgroup lattice (PKN-groups). In particular, we obtain a complete classification of finite PK-groups and of finite nilpotent PKN-groups. We also study groups with a Stone normal subgroup lattice, and we classify
T. De Medts, M. Tărnăuceanu
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Nilpotency and Theory of L-Subgroups of an L-Group
Fuzzy Information and Engineering, 2014 In this paper, the notion of commutator is modified and extended to L-setting. Also, the notion of descending central series is introduced which is used to formulate the important notion of nilpotent L-subgroup of an L-group.
Naseem Ajmal, Iffat Jahan
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Classification of the pentavalent symmetric graphs of order $8pq$ [PDF]
International Journal of Group Theory, 2022 A graph $X$ is symmetric if its automorphism group is transitive on the arc set of the graph. Let $p$ and $q$ be two prime integers. In this paper, a complete classification is determined of connected pentavalent symmetric graphs of order $8pq$.
Masoumeh Akbarizadeh +2 more
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On the characterization of Pythagorean fuzzy subgroups
AIMS Mathematics, 2021 Pythagorean fuzzy environment is the modern tool for handling uncertainty in many decisions making problems. In this paper, we represent the notion of Pythagorean fuzzy subgroup (PFSG) as a generalization of intuitionistic fuzzy subgroup.
Supriya Bhunia, Ganesh Ghorai, Qin Xin
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On normalizers of nilpotent subgroups
Journal of Algebra, 2003 The authors give a very wide generalization (not only for finite groups) of \textit{G. Glauberman}'s theorem [Math. Z. 107, 1-20 (1968; Zbl 0172.03002)] which characterizes finite two-dimensional special linear groups as groups acting on \(p\)-groups with certain features. The precise formulation is too complicated to be stated here.
Baumann, Bernd, Meierfrankenfeld, Ulrich
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