Results 21 to 30 of about 1,455 (175)
On Subnormal Subgroups of Factorized Groups
Journal of Algebra, 1997 Let the group \(G=AB\) be the product of two subgroups \(A\) and \(B\), and let \(H\) be a subgroup of the intersection \(A\cap B\). A well-known result of Maier and Wielandt says that if \(G\) is finite and the subgroup \(H\) is subnormal in \(A\) and \(B\), then \(H\) is also subnormal in \(G\) [see the book ``Products of groups'', Oxford Univ. Press
DE GIOVANNI, FRANCESCO +2 more
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Finite groups with given systems of generalised σ-permutable subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2021 Let σ = {σi|i ∈ I } be a partition of the set of all primes ℙ and G be a finite group. A set ℋ of subgroups of G is said to be a complete Hall σ-set of G if every member ≠1 of ℋ is a Hall σi-subgroup of G for some i ∈ I and ℋ contains exactly one Hall ...
Viktoria S. Zakrevskaya
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Finite groups in which normality, permutability or Sylow permutability is transitive
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 Y. Li gave a characterization of the class of finite soluble groups in which every subnormal subgroup is normal by means of NE-subgroups: a subgroup H of a group G is called an NE-subgroup of G if NG(H) ∩ HG = H. We obtain a new characterization of these
Malinowska Izabela Agata
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Joins of Almost Subnormal Subgroups [PDF]
Proceedings of the Edinburgh Mathematical Society, 1979 Following (1) we say that a subgroup H of a group G is almost subnormal in G if H is of finite index in some subnormal subgroup of G, or, equivalently, if |Hn : H| is finite for some n, where Hn is the n-th term of the normal closure series of H in G. The aim of this article is to prove, in answer to a question of R. Baer, the following analogue of the
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On soluble groups whose subnormal subgroups are inert [PDF]
International Journal of Group Theory, 2015 A subgroup H of a group G is called inert if, for each g∈G , the index of H∩H g in H is finite. We give a classification of soluble-by-finite groups G in which subnormal subgroups are inert in the cases where G has no nontrivial torsion ...
Ulderico Dardano , Silvana Rinauro
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On the subnormalizer of a p-subgroup
Journal of Pure and Applied Algebra, 1992 The subnormalizer of a subgroup \(H\) of a group \(G\) is the set \(S(H)=\{g\in G:\;H\triangleleft\triangleleft\langle H,g\rangle\}\). The author considers the case for \(H\) a \(p\)-subgroup of a finite group \(G\) and proves that \(| S(H)|=\alpha(H)\cdot| N(H)| =\lambda(H)\cdot| N(B)|\) where \(B\) is a Sylow \(p\)-subgroup of \(G\), \(\alpha(H)\) is
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Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov [PDF]
International Journal of Group Theory, 2012 We pursue further our investigation, begun in [H.~Smith, Groups with all subgroups subnormal or nilpotent-by-{C}hernikov, emph{Rend. Sem. Mat. Univ. Padova} 126 (2011), 245--253] and continued in [G.~Cutolo and H.~Smith, Locally finite groups with all ...
H. Smith, G. Cutolo
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A Survey of Subnormal Subgroups
Irish Mathematical Society Bulletin, 1990 The author gives a survey (without proofs) of the high points of the theory of subnormal subgroups developed over the last fifty years. The article is intended as an introduction to the book by Lennox and Stonehewer.
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On σ-Residuals of Subgroups of Finite Soluble Groups
Mathematics, 2023 Let σ={σi:i∈I} be a partition of the set of all prime numbers. A subgroup H of a finite group G is said to be σ-subnormal in G if H can be joined to G by a chain of subgroups H=H0⊆H1⊆⋯⊆Hn=G where, for every j=1,⋯,n, Hj−1 is normal in Hj or Hj/CoreHj(Hj−1)
A. A. Heliel +3 more
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Nursing Open, Volume 13, Issue 5, May 2026.ABSTRACT Aim To investigate the risk factors for postoperative hypoproteinemia in patients undergoing microsurgical reconstructive surgery and to develop a prediction model to support nurses in identifying patients at high risk. Design A prospective observational study.
Huijuan Qian +6 more
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