Results 11 to 20 of about 5,597,312 (370)
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
George M. Bergman, H. W. Lenstra
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On the Normal Subgroups of $G_2(A)$ [PDF]
Transactions of the American Mathematical Society, 1988 For a commutative local ring A, the authors determine the normal subgroups of the general linear group GL(2,A). Since every Artinian commutative ring A is a finite direct sum of local rings they are also able to derive a description for all normal subgroups of GL(2,A) for an Artinian ring A.
Costa, Douglas L., Keller, Gordon E.
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Normal Subgroups Contained in the Frattini Subgroup [PDF]
Proceedings of the American Mathematical Society, 1972 Let H be a normal subgroup of the finite group G. If H has a subgroup K which is normal in G, satisfies | K | > | K ∩ Z 1 ( H ) | = p |K| &
Hill, W. Mack, Wright, Charles R. B.
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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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The Case of a Normal Subgroup [PDF]
, 2020 In this section we consider triples of the form (G, N, θ) in the particular case when the subgroup N ≤ G is normal.
Ceccherini-Silberstein T. +2 more
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Normality in Uncountable Groups [PDF]
Advances in Group Theory and Applications, 2017 The main purpose of this paper is to describe the structure of uncountable groups of cardinality $\aleph$ in which all subgroups of cardinality $\aleph$ are normal.
Maria De Falco +3 more
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A sharply 2-transitive group without a non-trivial abelian normal subgroup [PDF]
, 2014 We show that any group $G$ is contained in some sharply 2-transitive group $\mathcal{G}$ without a non-trivial abelian normal subgroup. This answers a long-standing open question.
E. Rips, Yoav Segev, K. Tent
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The normal subgroup structure of ZM-groups [PDF]
, 2014 The main goal of this note is to determine and to count the normal subgroups of a ZM-group. We also indicate some necessary and sufficient conditions such that the normal subgroups of a ZM-group form a chain.
M. Tărnăuceanu
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Anti-Homomorphism in Q-Fuzzy Subgroups and Normal Subgroups
Ratio Mathematica, 2023 Many researchers have explored the fuzzy set extensively. We propose the notion of anti-homomorphism in Q is fuzzy subgroups and normal subgroups. It is establish some findings in this study article and build the theory of anti-homomorphism in Q-fuzzy ...
R Jahir Hussain, S Palaniyandi
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A Normal Subgroup Theorem for Commensurators of Lattices [PDF]
, 2013 We establish a general normal subgroup theorem for commensurators of lattices in locally compact groups. While the statement is completely elementary, its proof, which rests on the original strategy of Margulis in the case of higher rank lattices, relies
D. Creutz, Y. Shalom
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