Results 191 to 200 of about 17,556 (227)

CLT-Groups with Normal or Self-normalizing Subgroups

Bulletin of the Iranian Mathematical Society, 2019
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Shen, Zhencai, Brandl, R., Shi, Wujie, Chen, Yingyi   +3 more
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Groups with many modular or self-normalizing subgroups

Communications in Algebra, 2021
In this paper, locally graded group satisfying the minimal condition on subgroups which are neither modular nor self-normalizing are described; locally (soluble-by-finite) groups of infinite rank i...
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Solvable subgroups in groups with self-normalizing subgroup

Ukrainian Mathematical Journal, 2008
Summary: We study the structure of some solvable finite subgroups in groups with self-normalizing subgroup.
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On groups whose transitively normal subgroups are either normal or self-normalizing

Annali di Matematica Pura ed Applicata, 2012
A subgroup \(M\) of a group \(G\) is transitively normal if \(M\) is a normal subgroup of any subgroup \(T\) in which it is subnormal. Soluble T-groups and many locally nilpotent groups belong to the class of groups indicated in the title: The intersection of this class with the classes of hyperfinite groups, locally finite hypofinite groups and ...
Otal, Javier, Semko, Nikolaj N., Semko, Nikolaj N. jun.   +2 more
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Groups with many normal or self-normalizing subgroups

Rendiconti del Circolo Matematico di Palermo, 1998
A subgroup \(H\) of a group \(G\) is said to be a \(\xi\)-group if either \(H\) is normal in \(G\) or coincides with its normalizer in \(G\). A group \(G\) is called an \(\mathcal E\)-group if all its subgroups have the property \(\xi\). These groups were studied by \textit{G. Giordano} [Matematiche 26(1971), 291-296 (1972; Zbl 0254.20024)]. \textit{N.
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On p-Brauer characters of p′-degree and self-normalizing Sylow p-subgroups

Journal of Group Theory, 2010
The authors show that if \(G\) is a finite group and \(p\) is an odd prime, then a Sylow \(p\)-subgroup of \(G\) is self-normalizing if and only if \(G\) has no nontrivial irreducible \(p\)-Brauer character of degree not divisible by \(p\). For \(p\)-solvable groups, the number of irreducible \(p\)-Brauer characters of \(p'\)-degree is exactly \(|\text{
Navarro, Gabriel, Tiep, Pham Huu
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Groups with many self-normalizing subgroups.

2009
Summary: This paper investigates the structure of groups in which all members of a given relevant set of subgroups are self-normalizing. In particular, soluble groups in which every non-Abelian (or every infinite non-Abelian) subgroup is self-normalizing are described. Let \(\mathcal H\) be the class of all groups in which every non-Abelian subgroup is
DE FALCO, MARIA, DE GIOVANNI, FRANCESCO, MUSELLA, CARMELA   +2 more
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A nonabnormal subgroup contained only in self-normalizing subgroups in a finite group

Archiv der Mathematik, 1998
A subgroup \(U\) of a finite group \(G\) is said to be abnormal in \(G\) provided \(g\in\langle U,U^g\rangle\) for all \(g\in G\). For soluble groups \(G\), \(U\) is abnormal in \(G\) if and only if \(N_G(V)=V\) for every subgroup \(V\) containing \(U\) of \(G\). Answering a question raised by \textit{K. Doerk} and \textit{T.
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Finite groups with a self-normalizing subgroup of order six. II

Algebra and Logic, 1983
In the author's previous paper [Part I, Algebra Logika 19, 91-102 (1980; Zbl 0475.20017)] it was proved that if G is a finite group with a self- normalizing subgroup \(\) of order 6, then G is a solvable group of 3- length 1, or \(x^ 2\not\in G'.\) The main result of this paper is Theorem.
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Self-normalizing nilpotent subgroups of the full linear group over a finite field

Journal of Soviet Mathematics, 1981
It has been proved (Ref. Zh. Mat., 1977, 4A170) that in the full linear group GL(n,q), n=2, 3, over a finite field of q elements, q odd or q=2, the only self-normalizing nilpotent subgroups are the normalizers of Sylow 2-subgroups and that for even q>2 there are no such subgroups. In the present note it is deduced from results of D. A. Suprunenko and R.
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