Results 141 to 150 of about 1,455 (175)

Direct Products and Defects of Subnormal Subgroups

Journal of the London Mathematical Society, 1988
For any positive integer n, \({\mathfrak X}_ n\) denotes the class of groups G such that \([G,_ nH]=[G,_{n+1}H]\) for every subnormal subgroup H of G. Using Roseblade's Theorem on groups in which every subgroup is subnormal of bounded defect, it is shown that \(G\in {\mathfrak X}_ n\) if and only if \(G\times G\in {\mathfrak B}_ n\) (\({\mathfrak B}_ n\
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Permutability of subgroups and $$\mathfrak{F}$$ -subnormality

Siberian Mathematical Journal, 1996
General properties of formations inducing the WK-operator are studied. A subgroup \(H\) of a group \(G\) is called \({\mathfrak F}\)-composition subgroup (\({\mathfrak F}\) is a non-empty formation of finite groups), if there is a chain of subgroups \(G= H_0\geq H_1\geq\cdots\geq H_m=H\) such that, for every \(i\in\{1,2,\dots,m\}\), either \(H_i\) is ...
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A Note on Subnormal Subgroups of Division Algebras

Canadian Journal of Mathematics, 1978
Let D be a division algebra and let D* denote the multiplicative group of nonzero elements of D. In [3] Herstein and Scott asked whether any subnormal subgroup of D* must be normal in D*.
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Characters of subnormal subgroups ofM-groups

Archiv der Mathematik, 1984
By definition, a finite group G is called an M-group if each of its irreducible complex characters is induced from a linear character of a subgroup of G. In this paper several theorems are proved. The most important are Theorem 1: Let G be an M-group and let S be a subnormal subgroup of odd index in G.
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$${\mathbb {P}}$$-subnormal subgroups and the structure of finite groups

Ricerche Di Matematica, 2021
Ruifang Chen, Xianhe Zhao, Chen Ruifang   +2 more
exaly  

The Join of Two Subnormal Subgroups

Journal of the London Mathematical Society, 1980
Lennox, John C., Stonehewer, Stewart E.
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Groups with few non-subnormal subgroups.

2004
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DE FALCO, MARIA, MUSELLA, CARMELA
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Groups with every Subgroup Subnormal

Bulletin of the London Mathematical Society, 1983
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Subnormal Subgroups in U( Z G)

Proceedings of the American Mathematical Society, 1988
Gonçalves, Jairo, Ritter, Jürgen, Sehgal, Sudarshan K.   +2 more
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On Finite Groups that are the Product of Two Subnormal Supersoluble Subgroups

Acta Mathematica Sinica, English Series, 2023
John Cossey, Cossey John
exaly