Results 21 to 30 of about 10,185 (265)
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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Abelian subgroups of Garside groups [PDF]
, 2008 In this paper, we show that for every abelian subgroup $H$ of a Garside group, some conjugate $g^{-1}Hg$ consists of ultra summit elements and the centralizer of $H$ is a finite index subgroup of the normalizer of $H$.
Alonso J. M. +19 more
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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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The group of endotrivial modules for the symmetric and alternating groups. [PDF]
, 2010 We complete a classification of the groups of endotrivial modules for the modular group algebras of symmetric groups and alternating groups. We show that, for n ≥ p2, the torsion subgroup of the group of endotrivial modules for the symmetric groups is ...
Carlson, Jon, Hemmer, Dave, Mazza, Nadia
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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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A Note on Element Centralizers in Finite Coxeter Groups
, 2010 The normalizer $N_W(W_J)$ of a standard parabolic subgroup $W_J$ of a finite Coxeter group $W$ splits over the parabolic subgroup with complement $N_J$ consisting of certain minimal length coset representatives of $W_J$ in $W$. In this note we show that (
Konvalinka, Matjaž +2 more
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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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Endotrivial Modules for the General Linear Group in a Nondefining Characteristic [PDF]
, 2014 Suppose that $G$ is a finite group such that $\operatorname{SL}(n,q)\subseteq G \subseteq \operatorname{GL}(n,q)$, and that $Z$ is a central subgroup of $G$. Let $T(G/Z)$ be the abelian group of equivalence classes of endotrivial $k(G/Z)$-modules, where $
Carlson, Jon F. +2 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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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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