Results 1 to 10 of about 22,064,635 (355)

ON THE GENERATING GRAPH OF A SIMPLE GROUP [PDF]

Journal of the Australian Mathematical Society, 2016
The generating graph $\unicode[STIX]{x1D6E4}(H)$ of a finite group $H$ is the graph defined on the elements of $H$, with an edge between two vertices if and only if they generate $H$. We show that if $H$ is a sufficiently large simple group with $\unicode[STIX]{x1D6E4}(G)\cong \unicode[STIX]{x1D6E4}(H)$ for a finite group $G$, then $G\cong H$.
A. Lucchini, A. Maróti, C. Roney-Dougal
semanticscholar   +5 more sources

The depth of a finite simple group [PDF]

Proceedings of the American Mathematical Society, 2017
We introduce the notion of the depth of a finite group $G$, defined as the minimal length of an unrefinable chain of subgroups from $G$ to the trivial subgroup. In this paper we investigate the depth of (non-abelian) finite simple groups.
Timothy C. Burness, M. Liebeck, A. Shalev   +2 more
semanticscholar   +8 more sources

A new system of simple groups [PDF]

Mathematische Annalen, 1905
n ...
L. E. Dickson
openalex   +5 more sources

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
openalex   +6 more sources

On totally inert simple groups

Open Mathematics, 2010
Abstract A subgroup H of a group G is inert if |H: H ∩ H g| is finite for all g ∈ G and a group G is totally inert if every subgroup H of G is inert. We investigate the structure of minimal normal subgroups of totally inert groups and show that infinite locally graded simple groups cannot be totally inert.
Dixon Martyn, Evans Martin, Tortora Antonio   +2 more
doaj   +4 more sources

Theorems on simple groups [PDF]

Transactions of the American Mathematical Society, 1910
H. F. Blichfeldt
openalex   +3 more sources

Representations of extensions of simple groups. [PDF]

Arch Math
Abstract Feit and Tits (1978) proved that a nontrivial projective representation of minimal dimension of a finite extension of a finite nonabelian simple group G factors through a projective representation of G, except for some groups of Lie type in characteristic 2; the exact exceptions for G were determined by Kleidman and Liebeck (1989 ...
Harper S, Liebeck MW.
europepmc   +5 more sources

Simple Groups are Scarce [PDF]

Proceedings of the American Mathematical Society, 1968
Larry Dornhoff
openalex   +3 more sources

Simple group fMRI modeling and inference. [PDF]

Neuroimage, 2009
Mumford JA, Nichols T.
europepmc   +2 more sources

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