Results 181 to 190 of about 581,922 (233)

A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS

Bulletin of the Australian Mathematical Society, 2023
Let D be a division ring and N be a subnormal subgroup of the multiplicative group $D^*$ . We show that if N contains a nonabelian solvable subgroup, then N contains a nonabelian free subgroup.
L. Q. Danh, T. T. Deo
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Finite groups whose non-σ-subnormal subgroups are TI-subgroups

Communications in Algebra, 2023
–In this paper, for every partition σ of the set of all primes, we obtain a complete classification of finite groups in which every subgroup is a σ-subnormal subgroup or a TI-subgroup.
X. Yi, Xiang Wu, S. Kamornikov
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Chains of Normalizers of Subnormal Subgroups

The American mathematical monthly, 2022
We investigate properties of a few series associated to subnormal subgroups of finite groups. For a subnormal subgroup of a finite group we show that there are subnormal series for which the normalizers of each subgroup in the series form a chain.
W. Cocke, I. Isaacs, Ryan McCulloch
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GROUPS WITH SUBNORMAL NORMALIZERS OF SUBNORMAL SUBGROUPS

Bulletin of the Australian Mathematical Society, 2012
AbstractWe consider the class of solvable groups in which all subnormal subgroups have subnormal normalizers, a class containing many well-known classes of solvable groups. Groups of this class have Fitting length three at most; some other information connected with the Fitting series is given.
Beidleman, J. C., Heineken, H.
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Inductive sources and subnormal subgroups

Archiv der Mathematik, 2004
By a character pair in a finite group \(G\) is meant a pair \((H,\theta)\), where \(H\leq G\) and \(\theta\in\text{Irr}(H)\). The group \(G\) acts on the set of character pairs by \((H,\theta)^g=(H^g,\theta^g)\), where \(g\in G\). The character \(\theta^g\) of \(H^g\) is defined by the formula \(\theta^g(h^g)=\theta(h)\) for \(h\in H\).
Isaacs, I. M., Lewis, Mark L.
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Finite Groups with Subnormal Schmidt Subgroups

Siberian Mathematical Journal, 2004
A Shmidt group is a finite nonnilpotent group with nilpotent proper subgroups. Given a prime \(p\), a \(pd\)-group is a finite group such that \(p\) divides its order. The authors study the finite groups for which some Shmidt \(pd\)-subgroups are subnormal.
Knyagina, V. N., Monakhov, V. S.
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Finite groups in which some particular invariant subgroups are TI-subgroups or subnormal subgroups

Georgian Mathematical Journal
Let A and G be finite groups such that A acts coprimely on G by automorphisms. We prove that if every self-centralizing non-nilpotent A-invariant subgroup of G is a TI-subgroup or a subnormal subgroup, then every non-nilpotent A-invariant subgroup of G ...
Yifan Liu, Jiangtao Shi
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Non-subnormal subgroups of groups

Journal of Pure and Applied Algebra, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Coradicals of subnormal subgroups

Algebra and Logic, 1995
IfF is a nonempty formation, then theF-coradical of a finite group G is the intersection of all those normal subgroups N of G for which G / N ∈F. We study the structure of theF-coradical of a group generated by two subnormal subgroups of a finite group.
S. F. Kamornikov, L. A. Shemetkov
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Finite groups whose non-abelian self-centralizing subgroups are TI-subgroups or subnormal subgroups

, 2020
In this paper, we prove that if every non-abelian self-centralizing subgroup of a finite group G is a TI-subgroup or a subnormal subgroup of G, then every non-abelian subgroup of G must be subnorma...
Yuqing Sun, Jiakuan Lu, Wei Meng
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