Results 41 to 50 of about 5,621,576 (372)
A Study on Groupoids, Ideals and Congruences via Cubic Sets
Axioms, 2022 The inclusion, the intersection and the union between cubic sets are each defined in two ways. From this point of view, we introduce the concepts of cubic subgroupoids, cubic ideals, cubic subgroups, and cubic congruences as two types, respectively, and ...
Jeong-Gon Lee +4 more
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Normal Subgroups Contained in Frattini Subgroups are Frattini Subgroups [PDF]
Proceedings of the American Mathematical Society, 1980 We prove that if N is a normal subgroup of the finite group G and if N ⊆ Φ ( G ) N \subseteq \Phi (G) , then there exists a finite group U such that N = Φ ( U ) N = \Phi (U) exactly.
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Some normal subgroups of homomorphisms [PDF]
Transactions of the American Mathematical Society, 1966 lement of a euclidean neighborhood, and for B the closure of a euclidean neighborhood. They are able to show that the set of h which satisfy (a) is just the group P(X) generated by the elements of H(X) which agree with the identity on some open set, provided X has what they call a stable structure.
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On Fundamental Algebraic Characterizations of μ-Fuzzy Normal Subgroups
Journal of Function Spaces, 2022 In this article, we present the study of μ-fuzzy subgroups and prove numerous fundamental algebraic attributes of this newly defined notion. We also define the concept of μ-fuzzy normal subgroup and investigate many vital algebraic characteristics of ...
Ibtisam Masmali +4 more
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Finite coverings by normal subgroups [PDF]
Proceedings of the American Mathematical Society, 1988 B. H. Neumann’s characterization of groups possessing a finite covering by proper subgroups and Baer’s characterization of groups with finite coverings by abelian subgroups are refined to results about finite coverings by normal subgroups. Various corollaries about the structure of groups having such finite coverings are derived.
Brodie, M. A. +2 more
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Remarks on a normal subgroup of GA_n
, 2008 We show that the subgroup generated by locally finite polynomial automorphisms of k^n is normal in GA_n. Also, some properties of normal subgroups of GA_n containing all diagonal automorphisms are given.Comment: 5 ...
Danilov V. I. +4 more
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КОНЕЧНО ПОРОЖДЕННЫЕ ПОДГРУППЫ ГИПЕРБОЛИЧЕСКИХ ГРУПП
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2014 Устанавливается, что конечно порожденные подгруппы бесконечного индекса в гиперболических группах, не являющихся почти абелевыми, дополняемы нетри- виальным свободным множителем.
А.П. Горюшкин, A.P. Goryushkin
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𝒥⃗𝜌 neutrosophic Δϝ theory in mobile ad hoc network [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 Applications of algebraic theory can be found in different logical fields, including materials science, hereditary qualities, design, as well as in hypothetical and applied math, including logarithmic calculation, cryptography, game hypothesis, and ...
V. Dhanya, M. Selvarathi, M. Ambika
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Frattini Argument for Hall subgroups
, 2014 In the paper, it is proved that if a finite group $G$ possesses a $\pi$-Hall subgroup for a set $\pi$ of primes, then every normal subgroup $A$ of $G$ possesses a $\pi$-Hall subgroup $H$ such that ${G=AN_G(H)}$
Revin, Danila, Vdovin, Evgeny
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A complete classification of weakly Dedekind groups
AIMS MathematicsA finite group is called a weakly Dedekind group if all its noncyclic subgroups are normal. In this paper, we determine the complete classification of weakly Dedekind groups.
Huaguo Shi , Zhangjia Han, Pengfei Guo
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