Results 201 to 210 of about 17,661 (221)

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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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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Self-Normalization of Free Subgroups in the Free Burnside Groups

2003
Let G be a free Burnside group of sufficiently large exponent n. Assume that a non-trivial subgroup N of G is itself a free Burnside group of exponent n. We prove that N must coincide with its normalizer in G. In particular, if N is a normal free Burnside subgroup of G,then either N = G or N = 1.
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CLTσ-group with σ-subnormal or Self-normalizing Subgroups

Frontiers of Mathematics, 2023
Zhenfeng Wu, Nanying Yang
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The groups whose cyclic subgroups are either ascendant or almost self-normalizing

2016
The subgroup \(H\) of \(G\) is ascendant in \(G\) if the chain of normalizers beginning with \(H\) ends (possibly transfinitely) with \(G\). \(H\) is almost selfnormalizing if \(N_G(H)/H\) is finite. The authors characterize infinite locally finite groups of the title.
Kurdachenko, L.A., Pypka, A.A., Semko, N.N.   +2 more
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