Results 171 to 180 of about 224,835 (201)

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*.
openaire   +1 more source

On subnormality criteria for subgroups in finite groups

Journal of the London Mathematical Society, 2007
Let H be a subgroup of a finite group G and let S 1 (H) be the set of all elements g of G such that H is subnormal in H,Hg. A result of Wielandt states that H is subnormal in G if and only if G = S1 (H). In this Q1 paper, we let A be a subgroup of G contained in S 1(H) and ask if this implies (and therefore is equivalent to) the subnormality of H in H ...
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The Join of Two Subnormal Subgroups

Journal of the London Mathematical Society, 1980
Lennox, John C., Stonehewer, Stewart E.
openaire   +1 more source

$${\mathbb {P}}$$-subnormal subgroups and the structure of finite groups

Ricerche Di Matematica, 2021
Xianhe Zhao, Ruifang Chen
exaly  

Groups with few non-subnormal subgroups.

2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE FALCO, MARIA, MUSELLA, CARMELA
openaire   +2 more sources

On Finite Groups that are the Product of Two Subnormal Supersoluble Subgroups

Acta Mathematica Sinica, English Series, 2023
John Cossey
exaly  

On the products of ℙ-subnormal subgroups of finite groups

Siberian Mathematical Journal, 2012
A F Vasil'Ev, V N Tyutyanov, T I Vasil’Eva   +2 more
exaly  

Groups with every Subgroup Subnormal

Bulletin of the London Mathematical Society, 1983
openaire   +2 more sources

Products of F*(G)-subnormal subgroups of finite groups

Russian Mathematics, 2017
Viachaslau Murashka
exaly