Results 1 to 10 of about 5,621,576 (372)
Karpatsʹkì Matematičnì Publìkacìï, 2021 A group $G$ has a finite special rank $r$ if every finitely generated subgroup of $G$ is generated by at most $r$ elements and there is a finitely generated subgroup of $G$ which has exactly $r$ generators.
T.V. Velychko
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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
De Medts, Tom, Tărnăuceanu, Marius
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On groups with many normal subgroups [PDF]
International Journal of Group Theory, 2023 The structure of groups which are rich in normal subgroups has been investigated by several authors. Here, we prove that if a radical group G has normal deviation, which means that the set of its non-normal subgroups satisfies a very weak chain condition,
Alessio Russo, Mario Viscusi
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On algebraic aspects of η-fuzzy subgroups [PDF]
Journal of Fuzzy Extension and Applications, 2023 In this paper, we define the term " η-fuzzy subgroup" and show that every fuzzy subgroup is a η-fuzzy subgroup. We define some of the algebraic properties of the concept of η-fuzzy cosets. Furthermore, we initiate the study of the η-fuzzy normal subgroup
Muhammad Asghar, Khushdil Ahmad
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Pronormality in Group Theory [PDF]
Advances in Group Theory and Applications, 2020 A subgroup X of a group G is said to be pronormal if for each element g of G the subgroups X and X^g are conjugate in . The aim of this paper is to study pronormality and some close embedding properties, like weak normality and weak pronormality.
Francesco de Giovanni, Marco Trombetti
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Generalized Pythagorean Neutrosophic Sets in the Study of Group Theory [PDF]
Neutrosophic Sets and Systems, 2021 In 2019, Jansi et al. present the notion of the Pythagorean neutrosophic set (PNS) as an extension of a neutrosophic set with dependent neutrosophic components. But due to the more complexity involved in a decision-making problem, there is a serious need
Somen Debnath
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An algebraic analysis on exploring q-Rung orthopair multi-fuzzy sets [PDF]
Journal of Fuzzy Extension and Applications, 2023 The q-Rung Orthopair Fuzzy set (qROF-set) environment is a contemporary tool for handling uncertainty and vagueness in decision-making scenarios. In this paper, we delve into the algebraic examination of q-rung orthopair Multi-Fuzzy Sets (MFSs) and ...
Mahalakshmi Pethaperumal +3 more
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Conjugate L-subgroups of An L-group and Their Applications to Normality and Normalizer
Fuzzy Information and Engineering, 2022 In this paper, the notion of the conjugate of an L-subgroup by an L-point has been introduced. Then, several properties of conjugate L-subgroups have been studied analogous to their group-theoretic counterparts.
Iffat Jahan, Ananya Manas
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Elements Generating a Proper Normal Subgroup of the Cremona Group [PDF]
International mathematics research notices, 2019 Consider an algebraically closed field ${\textbf{k}}$, and let $\textsf{Cr}_2({\textbf{k}})$ be the Cremona group of all birational transformations of the projective plane over ${\textbf{k}}$. We characterize infinite order elements $g\in \textsf{Cr}_2(
Serge Cantat +2 more
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Structure of intersection graphs
Indonesian Journal of Combinatorics, 2021 Let G be a finite group and let N be a fixed normal subgroup of G. In this paper, a new kind of graph on G, namely the intersection graph is defined and studied.
Haval M. Mohammed Salih +1 more
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