Results 21 to 30 of about 176,282 (219)
A new approach to character-free proof for Frobenius theorem [PDF]
AUT Journal of Mathematics and Computing, 2023 Let G be a Frobenius group. Using character theory, it is proved that the Frobenius kernel of G is a normal subgroup of G, which is well-known as a Frobenius theorem. There is no known character-free proof for Frobenius theorem. In this note, we prove it,
Seyedeh Fatemeh Arfaeezarandi +1 more
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A note on the structure of a finite group G having a subgroup H maximal in 〈H, Hg〉
Open Mathematics, 2019 Let G be a finite group and H ≤ G. The authors study the structure of finite groups G having a subgroup H which is maximal in 〈H, Hg〉 for some g ∈ G. Some results on the structure of 〈H, Hg〉 and G are set up.
Xu Yong, Li Xianhua, Chen Guiyun
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F^ω-injectors of finite groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаOnly finite groups and classes of finite groups are considered. $\frak F$-injectors (B. Fischer, W. Gaschutz, B. Hartley, 1967) and $\frak F$-projectors (W.
Sorokina, Marina M., Novikova, Diana G.
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Complete Groups of Order $3p^6$ [PDF]
Advances in Group Theory and Applications, 2016 For each prime number $p$ with $3 | p − 1$, we construct a group of order $3p^5$, whose automorphism group is a complete group of order $3p^6$.
M. John Curran, Rex S. Dark
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Character expansiveness in finite groups [PDF]
International Journal of Group Theory, 2013 We say that a finite group $G$ is conjugacy expansive if for anynormal subset $S$ and any conjugacy class $C$ of $G$ the normalset $SC$ consists of at least as many conjugacy classes of $G$ as$S$ does.
Attila Maroti +2 more
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Sum of Element Orders of Finite Linear Groups of Degree Two [PDF]
Advances in Group Theory and ApplicationsLet G be a finite group of order n and ψ(G) = sum_{g in G} o(g), the sum of its element orders. In this paper, we present a computational method to find the ψ value of finite groups and provide explicit formulas for the sum of element orders of finite ...
Seiyede Nazanin Banisadr +3 more
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Finite groups with star-free noncyclic graphs
Open Mathematics, 2019 For a finite noncyclic group G, let Cyc(G) be the set of elements a of G such that 〈a, b〉 is cyclic for each b of G. The noncyclic graph of G is a graph with the vertex set G ∖ Cyc(G), having an edge between two distinct vertices x and y if 〈x, y〉 is not
Ma Xuanlong, Walls Gary L., Wang Kaishun
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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 g-Noncommuting Graph of a Finite Group Relative to Its Subgroups
Mathematics, 2021 Let H be a subgroup of a finite non-abelian group G and g∈G. Let Z(H,G)={x∈H:xy=yx,∀y∈G}. We introduce the graph ΔH,Gg whose vertex set is G\Z(H,G) and two distinct vertices x and y are adjacent if x∈H or y∈H and [x,y]≠g,g−1, where [x,y]=x−1y−1xy.
Monalisha Sharma +2 more
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Identifying Patterns of Hospitalizations Among Childhood Cancer Survivors: A Population‐Based Study
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Childhood cancer survivors (CCSs) experience more hospitalizations than the general population. We aimed to identify distinct hospitalization patterns among Queensland CCSs and the associated characteristics. Methods Cases (aged ≤14 years) diagnosed between 1995 and 2019 while residents of Queensland were identified through the ...
Hai Pham +7 more
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