Results 31 to 40 of about 1,322,838 (185)
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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Conjugacy separability of certain HNN extensions with normal associated subgroups [PDF]
International Journal of Group Theory, 2016 In this paper, we will give necessary and sufficient conditions for certain HNNextensions of subgroup separable groups with normal associated subgroup to be conjugacyseparable.
Kok Bin Wong, Peng Choon Wong
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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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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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A certain algebraic structure of bipolar single value neutrosophic subgroups and its essential properties [PDF]
Neutrosophic Sets and SystemsThe idea of bipolar single value neutrosophic set was created as an extension of a single value neutrosophic set when every single value neutrosophic membership function has two poles. In this study, we apply this idea in an algebraic environment when we
Yousef Al-Qudah +4 more
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Infinite groups with many generalized normal subgroups [PDF]
International Journal of Group Theory, 2012 A subgroup $X$ of a group $G$ is almost normal if the index $|G:N_G(X)|$ is finite, while $X$ is nearly normal if it has finite index in the normal closure $X^G$.
Francesco de Giovanni, Caterina Rainone
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Metahamiltonian groups and related topics [PDF]
International Journal of Group Theory, 2013 A group is called metahamiltonian if all its non-abelian subgroups are normal. This aim of this paper is to provide an updated survey of researches concerning certain classes of generalized metahamiltonian groups, in various contexts, and to prove some ...
Maria De Falco +2 more
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Computing normal subgroups [PDF]
Proceedings of the 1998 international symposium on Symbolic and algebraic computation, 1998 This note presents a new algorithm for the computation of the set of normal subgroups of a finite group. It is based on lifting via homomorphic images.
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Layer-finiteness of Some Groups
Известия Иркутского государственного университета: Серия "Математика"Infinite groups with finiteness conditions for an infinite system of subgroups are studied. Groups with a condition: the normalizer of any non-trivial finite subgroup is a layer-finite group or the normalizer of any non-trivial finite subgroup has a ...
V.I. Senashov
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