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Finite groups with a self-normalizing subgroup of order six. II
Algebra and Logic, 1983In 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, 1981It 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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Finite groups in which every cyclic subgroup is self-normalizing in its subnormal closure
Journal of Group Theory, 2019Abstract For a given prime p, a finite group G is said to be a 𝒞 ~ p
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Self-Normalization of Free Subgroups in the Free Burnside Groups
2003Let 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, 2023Zhenfeng Wu, Nanying Yang
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The groups whose cyclic subgroups are either ascendant or almost self-normalizing
2016The 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. +2 more
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Voices of the new generation: normalizing career choices outside academia
Nature Reviews Molecular Cell Biology, 2023Erdinc Sezgin
exaly
Tumor-Node-Metastasis Staging of Pancreatic Adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2008Matthew H G Katz
exaly
Self-management: Enabling and empowering patients living with cancer as a chronic illness
Ca-A Cancer Journal for Clinicians, 2011Ruth McCorkle +2 more
exaly
Finite groups with a self-normalizing subgroup of order 6
Algebra and Logic, 1980openaire +2 more sources