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On Ree’s series of simple groups [PDF]

Bulletin 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
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The Multiplicators of Certain Simple Groups [PDF]

Proceedings of the American Mathematical Society, 1966
The recent paper of Steinberg [7] on the multiplicators of the finite simple groups of Lie type, the classical determination of the multiplicators of the alternating groups by Schur [6], a similar result of Janko for his group [3] and the (unpublished) work of J. G. Thompson on the Mathieu groups cover all but three families of known simple groups.
J. L. Alperin, Daniel Gorenstein
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A characterization of Janko’s simple group [PDF]

Proceedings of the American Mathematical Society, 1968
If G is a finite group, we say that a series of subgroups G = Go > G > * > Gn= 1 is a maximal series of length n of G if Gi is a maximal subgroup of Gi1, 1 _ i < n. A subgroup H of G is called mth maximal in G if there exists at least one maximal series H= Gm< Gm.,-<
T. M. Gagen
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Theorems on simple groups [PDF]

Transactions of the American Mathematical Society, 1910
H. F. Blichfeldt
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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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Simple Groups are Scarce [PDF]

Proceedings of the American Mathematical Society, 1968
Larry Dornhoff
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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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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

Simple groups contain minimal simple groups [PDF]

Publicacions 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