Results 21 to 30 of about 379,510 (267)
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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On Cubic Fuzzy Groups and Cubic Fuzzy Normal Subgroups
Science Journal of University of Zakho, 2022 In this paper, the notions of cubic fuzzy groups and cubic fuzzy normal subgroups are introduced. The internal, external of cubic sets, (P-,R-) order, (P-,R-) intersection and (P-,R-) union of cubic fuzzy groups are investigated and some related ...
Kardo Sleman Haso, Alias Barakat Khalaf
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Subgroups close to normal subgroups
Journal of Algebra, 1989 Let G be a group and H a subgroup. It is shown that the set of indices \(\{\) [H: \(H\cap gHg^{-1}]|\) \(g\in G\}\) has a finite upper bound n if and only if there is a normal subgroup \(N\trianglelefteq G\) which is commensurable with H; i.e., such that [H:N\(\cap H]\) and [N:N\(\cap H]\) are finite; moreover, the latter indices admit bounds depending
Lenstra, H.W., Bergman, G.
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Seminormal, Non-Normal Maximal Subgroups and Soluble PST-Groups [PDF]
Advances in Group Theory and Applications, 2016 All groups in this paper are finite. Let G be a group. Maximal subgroups of G are used to establish several new characterisations of soluble PST-groups.
J.C. Beidleman
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GRUPOS DE PERMUTAÇÕES E GRUPOS FINITOS SIMPLES
Colloquium Exactarum, 2011 The normality of subgroups in a finite group has a property discovered by E. Galois in 1832, study-group of permutations of roots of polynomial equations.
Lauro Maycon Fernandes Ferreira +2 more
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Groups with Finitely Many Isomorphism Classes of Non-Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2020 We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax.
Leonid A. Kurdachenko +2 more
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Groups Satisfying the Double Chain Condition on Subnormal Non-Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2022 If θ is a subgroup property, a group G is said to satisfy the double chain condition on θ-subgroups if it admits no infinite double sequences consisting of θ-subgroups.
Mattia Brescia, Francesco de Giovanni
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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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The Fubini Theorem for Normal Lie Subgroups of Index 2n
RCT: Revista de Ciência e Tecnologia, 2023 In this paper we present a new proof to generalize the Fubini's Theorem for the even index subgroup of a compact Lie group, using a recent result on the semi-direct product of groups.
Leandro Nery de Oliveira +1 more
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On certain groups of functions
International Journal of Mathematics and Mathematical Sciences, 1980 Let C(X,G) denote the group of continuous functions from a topological space X into a topological group G with the pointwise multiplication and the compact-open topology. We show that there is a natural topology on the collection of normal subgroups Δ(X)
J. S. Yang
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