Results 21 to 30 of about 5,518 (174)
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
doaj
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
doaj
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
Frattini Argument for Hall subgroups
, 2014 In the paper, it is proved that if a finite group $G$ possesses a $\pi$-Hall subgroup for a set $\pi$ of primes, then every normal subgroup $A$ of $G$ possesses a $\pi$-Hall subgroup $H$ such that ${G=AN_G(H)}$
Revin, Danila, Vdovin, Evgeny
core +1 more source
On the Frattini subgroup of a finite group
, 2016 We study the class of finite groups $G$ satisfying $\Phi (G/N)= \Phi(G)N/N$ for all normal subgroups $N$ of $G$. As a consequence of our main results we extend and amplify a theorem of Doerk concerning this class from the soluble universe to all finite ...
Aivazidis, Stefanos +1 more
core +1 more source
On numbers which are orders of nilpotent groups with bounded class [PDF]
International Journal of Group TheoryLet $n$ be a positive integer. In this short note, we characterize those numbers $m$ for which any group of order $m$ is an $n$-Engel group and those numbers $m$ for which any group of order $m$ has all its subgroups subnormal of defect at most $n$.
Maria Ferrara
doaj +1 more source
Sex-Related Differences in Risk Factors Associated With Nonhealing or Recurrence of Hyperthyroidism in Patients With Graves' Disease Treated With Radioactive Iodine. [PDF]
Health Care SciAge and thyroid volume were independent risk factors for the occurrence of nonhealing or recurrence of hyperthyroidism (NHRH) in female patients. Only free thyroxine (FT4) was independently associated with the occurrence of NHRH in male patients. ABSTRACT Background To evaluate sex‐related differences in the risk factors associated with nonhealing or ...
Shen H +5 more
europepmc +2 more sources
Existence criterion for Hall subgroups of finite groups
, 2010 In the paper we obtain an existence criterion for Hall subgroups of finite groups in terms of a composition series.Comment: We made some editor corrections in the ...
Danila O. Revin +2 more
core +1 more source
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.
openaire +2 more sources
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