Results 41 to 50 of about 2,137 (216)
Groups with many subnormal subgroups
, 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
core +1 more source
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
wiley +1 more source
Joins of $\sigma$-subnormal subgroups
, 2023 Let $\sigma=\{\sigma_j\,:\, j\in J\}$ be a partition of the set $\mathbb{P}$ of all prime numbers. A subgroup $X$ of a finite group $G$ is~\textit{$\sigma$-subnormal} in $G$ if there exists a chain of subgroups $$X=X_0\leq X_1\leq\ldots\leq X_n=G$$ such that, for each $1\leq i\leq n-1$, $X_{i-1}\trianglelefteq X_i$ or $X_i/(X_{i-1})_{X_i}$ is a ...
Ferrara, Maria, Trombetti, Marco
openaire +2 more sources
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
doaj +1 more source
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 Wielandt's theory of subnormal subgroups
, 2010 The classic Zipper lemma of Wielandt on subnormal subgroups is generalized.
Flavell, Paul
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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
core
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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Groups with finitely many normalizers of non-subnormal subgroups
Le Matematiche, 2007 It is proved that a group G has finitely many normalizers of non-subnormal subgroups if and only if each subgroup of G either is subnormal or has finitely many conjugates; groups with this latter property have been completely described in [8].
Fausto De Mari, Francesco De Giovanni
doaj