Results 31 to 40 of about 243,406 (213)
Groups with many subnormal subgroups [PDF]
, 2003 A generalization of groups with all subgroups subnormal is studied. In particular, we prove that a group G with a finite subgroup F such that every subgroup containing F is subnormal of bounded defect, is finite-by-(nilpotent of bounded class) provided ...
Detomi, Eloisa +2 more
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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 semi-subnormal Schmidt subgroups
, 2020 A Schmidt group is a non-nilpotent group in which every proper subgroup is nilpotent. A subgroup A of a group G is semi-normal in G if there exists a subgroup B of G such that G = AB and AB1 is a proper subgroup of G for every proper subgroup B1 of B. If
Monakhov, V.S., Kniahina, V.N.
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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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On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups
Mathematics, 2022 Let G be a finite group that is a product of two subnormal ( normal) supersolvable subgroups. The following are interesting topics in the study of the structure of G: obtaining the conditions in addition to guarantee that G is supersolvable and giving ...
Yangming Li, Yubo Lv, Xiangyang Xu
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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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Finite groups whose maximal subgroups of even order are MSN-groups
Open Mathematics, 2022 A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
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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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Associations Between Sperm DNA Fragmentation and Lifestyle Factors
Andrology, EarlyView.ABSTRACT Background Sperm DNA fragmentation index (DFI) has been proposed as a supplementary biomarker to traditional semen parameters in the evaluation of male infertility. However, its determinants and clinical relevance remain unclear, particularly regarding modifiable lifestyle factors.
Lana Haval Mairof Adams +7 more
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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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