Results 181 to 190 of about 243,406 (213)

Finite groups with subnormal Schmidt subgroups

Algebra and Logic, 2007
Summary: We give a complete description of the structure of finite non-nilpotent groups all Schmidt subgroups of which are subnormal.
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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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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.
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Groups with few non-subnormal subgroups.

2004
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DE FALCO, MARIA, MUSELLA, CARMELA
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Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup

Archiv Der Mathematik, 2013
Jiangtao Shi
exaly  

Groups with every Subgroup Subnormal

Bulletin of the London Mathematical Society, 1983
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Groups in which every finite subnormal subgroup is normal

Ricerche Di Matematica, 2015
Francesco de Giovanni
exaly  

The join problem of subnormal L -subgroups of an L -group

2023
Iffat Jahan, Hari M Srivastava
exaly