Results 1 to 10 of about 25,259 (197)

Classifying cubic symmetric graphs of order 52p2; pp. 55–60 [PDF]

Proceedings of the Estonian Academy of Sciences, 2023
An automorphism group of a graph is said to be s-regular if it acts regularly on the set of s-arcs in the graph. A graph is s-regular if its full automorphism group is s-regular.
Shangjing Hao, Shixun Lin
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A NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11 [PDF]

Journal of Algebraic Systems, 2020
Let G be a finite group , in this paper using the order and largest element order of G we show that every finite group with the same order and largest element order as G 2 (q), where q ⩽ 11 is necessarily isomorphic to the group G 2 (q)
M. Bibak, Gh.R. Rezaeezadeh, E. Esmaeilzadeh   +2 more
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A 2-arc Transitive Hexavalent Nonnormal Cayley Graph on A₁₁₉

Mathematics, 2021
A Cayley graph Γ=Cay(G,S) is said to be normal if the base group G is normal in AutΓ. The concept of the normality of Cayley graphs was first proposed by M.Y.
Bo Ling, Wanting Li, Bengong Lou
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Symmetric graphs of valency seven and their basic normal quotient graphs

Open Mathematics, 2021
We characterize seven valent symmetric graphs of order 2pqn2p{q}^{n} with ...
Pan Jiangmin, Huang Junjie, Wang Chao
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Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$ [PDF]

AUT Journal of Mathematics and Computing, 2023
For a 1-$(v,k,\lambda)$ design $\mathcal{D}$ containing a point $x$, we study the set $I_x$, the intersection of all blocks of $\mathcal{D}$ containing $x$.
Amin Saeidi
doaj   +1 more source

A new characterization of some Mathieu groups by the number of Sylow subgroups

Boletim da Sociedade Paranaense de Matemática, 2013
Let G be a finite group with trivial center and n_{p}(G) be the number of Sylow p- subgroup of G. In this paper we prove that if n_{p}(G)=n_{p}(M_{n}), for every prime p in pi (G), where n in {11, 12}, then M_{n}
Alireza Khalili Asboei, Syyed Sadegh Salehi Amiri, Ali Iranmanesh, Abolfazl Tehranian   +3 more
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Finite groups for which all proper subgroups have consecutive character degrees

AIMS Mathematics, 2023
Huppert and Qian et al. classified finite groups for which all irreducible character degrees are consecutive. The aim of this paper is to determine the structure of finite groups whose irreducible character degrees of their proper subgroups are all ...
Shitian Liu
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Normalizer property of finite groups with almost simple subgroups

Electronic Research Archive, 2022
In this paper, we prove that all Coleman automorphisms of extension of an almost simple group by an abelian group or a simple group are inner. Using our methods we also show that the Coleman automorphisms of 2-power order of an odd order group by an ...
Jingjing Hai , Xian Ling
doaj   +1 more source

Characterization of some alternating groups by order and largest element order [PDF]

AUT Journal of Mathematics and Computing, 2022
The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph.
Ali Mahmoudifar, Ayoub Gharibkhajeh
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Finite groups all of whose proper subgroups have few character values

AIMS Mathematics, 2023
In this paper, the structures of non-solvable groups whose all proper subgroups have at most seven character values are identified.
Shitian Liu , Runshi Zhang
doaj   +1 more source