Results 1 to 10 of about 6,369,178 (336)

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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

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
doaj   +1 more source

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
doaj   +1 more source

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

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

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
doaj   +1 more source

Integral group ring of the first Mathieu simple group [PDF]

, 2007
We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11.
Bódi, Viktor, Konovalov, A. B.
core   +2 more sources