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Subnormal Structure of Finite Soluble Groups [PDF]
, 2001 The Wielandt subgroup, the intersection of normalizers of subnormal subgroups, is non-trivial in any finite group and thus gives rise to a series whose length is a measure of the complexity of a group's subnormal structure.
Wetherell, Chris
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Testicular Biopsies in Adolescent and Adult Andrological Patients: The EAA Clinical Guidelines
Andrology, Volume 14, Issue 7, Page 1906-1928, October 2026.ABSTRACT Background Histological evaluation of testicular tissue is central to the assessment of infertile men, particularly those at an increased risk of testicular germ cell tumors (TGCT). Traditionally, testicular biopsies have been used primarily for diagnostic purposes, such as the detection of germ cell neoplasia in situ (GCNIS). With advances in
Lise Aksglaede +11 more
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International Journal of Mathematics and Mathematical Sciences, 1997 Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H-invariant subgroup chains.
Yanming Wang
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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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On certain subgroups of a join of subnormal subgroups [PDF]
Glasgow Mathematical Journal, 1984 1. Introduction: Suppose the group G is generated by subnormal subgroups H and K, and that A, B are normal subgroups of finite index in H, Krespectively. The following question has been asked by J. C. Lennox: Under what circumstances is the subgroupJ = (A, B) subnormal in G? In particular, it is of interest to know when J has finite index in G, for, if
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On groups with formational subnormal Sylow subgroups
, 2017 We investigate a finite group G with 𝔉 {\mathfrak{F}} -subnormal ...
Irina L. Sokhor, Victor S. Monakhov
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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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On subnormal subgroups of skew fields [PDF]
, 1988 If D is a skew field with infinite center Z and [D: Z]= ∞ then any subnormal subgroup of D∗ which satisfies a Laurent generalized polynomial identity is ...
Makar-Limanov, L
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Groups with conjugacy classes of coprime sizes
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina +8 more
wiley +1 more source
On groups with formational subnormal Sylow subgroups [PDF]
, 2018 We investigate a finite group G with F-subnormal Sylow subgroups, where F is a subgroup-closed formation and A1A⊆F⊆NA. We prove that G is soluble and the derived subgroup of each metanilpotent subgroup is nilpotent.
Sokhor, Irina Leonidovna +2 more
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