Results 1 to 10 of about 1,847,296 (120)
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 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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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 +2 more
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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
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Basic 3-Transpositions of the Symplectic Group Sp(2n, 2) [PDF]
Advances in Group Theory and Applications, 2021 In this paper we aim to study maximal pairwise commuting sets of 3-transpositions (transvections) of the simple symplectic group Sp(2n, 2), and to construct designs from these sets.
Jamshid Moori
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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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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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The NEPS of Gain Graphs over Arbitrary Groups and its Spectra [PDF]
Advances in Group Theory and ApplicationsWe provide two definitions for a gain function on a non-complete extended p-sum (NEPS) of gain graphs over arbitrary groups. In the first one, the gain function takes values in the direct product of the gain groups of the factors.
Matteo Cavaleri +2 more
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Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
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A new characterization of L2(p2)
Open Mathematics, 2020 For a positive integer n and a prime p, let np{n}_{p} denote the p-part of n. Let G be a group, cd(G)\text{cd}(G) the set of all irreducible character degrees of GG, ρ(G)\rho (G) the set of all prime divisors of integers in cd(G)\text{cd}(G), V(G)=pep(G)|
Wang Zhongbi +4 more
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