Results 1 to 10 of about 6,200,949 (317)

On Ree’s series of simple groups [PDF]

open access: goldBulletin of the American Mathematical Society, 1963
Ree recently discovered a series of finite simple groups related to the simple Lie algebra of type (G2) [5; 6 ] . We have determined the irreducible characters of these groups. In this work, we do not use the actual definition of Ree's groups, but only the properties (l)-(5) given below. Since these are sufficient to determine the bulk of the character
Harold N. Ward
openalex   +7 more sources

Simple Groups are Scarce [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1968
Larry Dornhoff
openalex   +3 more sources

Theorems on simple groups [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1910
H. F. Blichfeldt
openalex   +3 more sources

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

open access: yesProceedings 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

Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$ [PDF]

open access: yesAUT 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 SIMPLE GROUP G 2 (q) WHERE q ⩽ 11 [PDF]

open access: yesJournal 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
doaj   +1 more source

A 2-arc Transitive Hexavalent Nonnormal Cayley Graph on A119

open access: yesMathematics, 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

Simple groups contain minimal simple groups [PDF]

open access: yesPublicacions Matemàtiques, 1997
It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.
Barry, M. J. J., Ward, M. B.
openaire   +4 more sources

Symmetric graphs of valency seven and their basic normal quotient graphs

open access: yesOpen 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 all of whose proper subgroups have few character values

open access: yesAIMS 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

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