Results 1 to 10 of about 581,922 (233)
Algebraic commutators with respect to subnormal subgroups in division rings [PDF]
Acta Mathematica Hungarica, 2021 Let $$D$$ D be a division ring and $$K$$ K a subfield of $$D$$ D which is not necessarily contained in the center $$F$$ F of $$D$$ D . We study the structure of $$D$$ D under the condition of left algebraicity of certain subsets of $$D$$ D over $$K$$ K .
Mai Hoang Bien +2 more
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On σ-subnormal subgroups and products of finite groups
Electronic Research Archive, 2023 Suppose that $ \sigma = \{ {\sigma}_{i} : i \in I \} $ is a partition of the set $ \mathbb{P} $ of all primes. A subgroup $ A $ of a finite group $ G $ is said to be $ \sigma $-subnormal in $ G $ if $ A $ can be joined to $ G $ by a chain of subgroups $
A. A. Heliel +3 more
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Weakly subnormal subgroups and variations of the Baer–Suzuki theorem [PDF]
Journal of the London Mathematical SocietyA subgroup R$R$ of a finite group G$G$ is weakly subnormal in G$G$ if R$R$ is not subnormal in G$G$ but it is subnormal in every proper overgroup of R$R$ in G$G$ . In this paper, we first classify all finite groups G$G$ that contains a weakly subnormal p$
Robert M. Guralnick +2 more
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Finite groups with weakly subnormal and partially subnormal subgroups
Sibirskii matematicheskii zhurnal, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, J., Hu, B., Skiba, A. N.
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Finite Groups whose Cyclic Subnormal Subgroups Satisfy Certain Permutability Conditions [PDF]
Advances in Group Theory and Applications, 2016 Finite groups in which each cyclic subnormal subgroup is semipermutable, S-semipermutable or seminormal are investigated.
A. Ballester-Bolinches +2 more
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Permutable subnormal subgroups of finite groups [PDF]
Archiv der Mathematik, 2009 The aim of this paper is to prove certain characterization theorems for groups in which permutability is a transitive relation, the so called PT -groups. In particular, it is shown that the finite solvable PT -groups, the finite solvable groups in which every subnormal subgroup of defect two is permutable, the finite solvable groups in which every ...
A. Ballester‐Bolinches +5 more
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First-line infertility treatment in normal or subnormal sperm: Interest of a simplified pre-IMSI test. [PDF]
PLoS ONEBackgroundIn the field of male infertility, when sperm is normal/subnormal, a few "add-on" routine tests can complete the basic semen examination.ObjectivesThe aim of this study was to develop and evaluate a faster, simplified motile sperm organelle ...
Julien Sigala +6 more
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Subnormal Subgroups of Division Rings [PDF]
Canadian Journal of Mathematics, 1963 Let K be a division ring. A subgroup H of the multiplicative group K′ of K is subnormal if there is a finite sequence (H = A0, A1, . . . , An = K′) of subgroups of K′ such that each Ai is a normal subgroup of Ai+1. It is known (2, 3) that if H is a subdivision ring of K such that H′ is subnormal in K′, then either H = K or H is in the centre Z(K) of K.
I. N. Herstein, W. R. Scott
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ON ALMOST SUBNORMAL SUBGROUPS AND MAXIMAL SUBGROUPS IN SKEW LINEAR GROUPS
International Electronic Journal of Algebra, 2018 In this paper, we study almost subnormal subgroups and maximal subgroups in skew linear groups satisfying a generalized Laurent polynomial identity.
Truong Huu Dung
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Groups in which Sylow subgroups and subnormal subgroups permute [PDF]
Illinois Journal of Mathematics, 2003 A finite group is called a PST-group if its subnormal subgroups permute with its Sylow subgroups. It is shown that if \(G\) is a PST-group and \(H_1/K_1\) and \(H_2/K_2\) are isomorphic Abelian chief factors of \(G\) with \(H_1H_2\subseteq G'\), then these factors are \(G\)-isomorphic (Theorem 2).
A. Ballester‐Bolinches +2 more
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