Restrictions on sets of conjugacy class sizes in arithmetic progressions [PDF]
International Journal of Group Theory, 2023 We continue the investigation, that began in [M. Bianchi, A. Gillio and P. P. Pálfy, A note on finite groups in which the conjugacy class sizes form an arithmetic progression, Ischia group theory 2010, World Sci. Publ., Hackensack, NJ (2012) 20--25.] and
Alan R. Camina, Rachel D. Camina
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A probabilistic version of a theorem of lászló kovács and hyo-seob sim [PDF]
International Journal of Group Theory, 2020 For a finite group group, denote by $\mathcal V(G)$ the smallest positive integer $k$ with the property that the probability of generating $G$ by $k$ randomly chosen elements is at least $1/e.$ Let $G$ be a finite soluble group.
Andrea Lucchini, Mariapia Moscatiello
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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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Groups with soluble minimax conjugate classes of subgroups [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2008 A classical result of Neumann characterizes the groups in which each subgroup has finitely many conjugates only as central-by-finite groups. If X is a class of groups, a group G is said to have X-conjugate classes of subgroups if G/coreG(NG(H)) 2 X for ...
Francesco Russo
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On Minimal Non-Soluble Groups, the Normalizer Condition and McLain Groups [PDF]
Advances in Group Theory and Applications, 2017 We prove that a minimal non-soluble ($MN\mathfrak{S}$ in short) Fitting $p$-group $G$ has a proper subgroup $K$ such that for every proper subgroup $R$ of $G$ containing $K$, we have $N_G(R) > R$.
Ahmet Arikan
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Intersections of prefrattini subgroups in finite soluble groups [PDF]
International Journal of Group Theory, 2017 Let $H$ be a prefrattini subgroup of a soluble finite group $G$. In the paper it is proved that there exist elements $x,y in G$ such that the equality $H cap H^x cap H^y = Phi (G)$ holds.
Sergey Kamornikov
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Some New Local Properties Defining Soluble PST-Groups [PDF]
Advances in Group Theory and Applications, 2017 Let $G$ be a group and $p$ a prime number. $G$ is said to be a $Y_p$-group if whenever $K$ is a $p$-subgroup of $G$ every subgroup of $K$ is an $S$-permutable subgroup in $N_G(K)$.
J.C. Beidleman
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Seminormal, Non-Normal Maximal Subgroups and Soluble PST-Groups [PDF]
Advances in Group Theory and Applications, 2016 All groups in this paper are finite. Let G be a group. Maximal subgroups of G are used to establish several new characterisations of soluble PST-groups.
J.C. Beidleman
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Hepatocyte growth factor and soluble cMet levels in plasma are prognostic biomarkers of mortality in patients with severe acute kidney injury [PDF]
Kidney Research and Clinical Practice, 2021 Background Hepatocyte growth factor (HGF)/cMet pathway is necessary for repair and regeneration following acute kidney injury (AKI). We evaluated the clinical potential of plasma HGF and soluble cMet as prognostic biomarkers for severe AKI requiring ...
Lilin Li +9 more
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A characterization of soluble groups in which normality is a transitive relation [PDF]
International Journal of Group Theory, 2017 A subgroup $X$ of a group $G$ is said to be an H-subgroup if NG(X) ∩ Xg ≤ X for each element $g$ belonging to $G$. In [M. Bianchi and e.a., On finite soluble groups in which normality is a transitive relation, J.
Giovanni Vincenzi
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