Results 291 to 300 of about 25,178,865 (330)

ALL GROUPS ARE OUTER AUTOMORPHISM GROUPS OF SIMPLE GROUPS

Journal of the London Mathematical Society, 2001
It is shown that each group is the outer automorphism group of a simple group. Surprisingly, the proof is mainly based on the theory of ordered or relational structures and their symmetry groups. By a recent result of Droste and Shelah, any group is the outer automorphism group Out (Aut T) of the automorphism group Aut T of a doubly homogeneous ...
Droste, Manfred, Giraudet, Michèle, Göbel, Rüdiger   +2 more
openaire   +1 more source

Cocliques of maximal size in the prime graph of a finite simple group

, 2009
A prime graph of a finite group is defined in the following way: the set of vertices of the graph is the set of prime divisors of the order of the group, and two distinct vertices r and s are joined by an edge if there is an element of order rs in the ...
A. Vasil’ev, E. Vdovin
semanticscholar   +1 more source

Embedding of a Simple Lie Group into a Simple Lie Group and Branching Rules

Journal of Mathematical Physics, 1967
A criterion established by Dynkin is used to specify the embedding of a connected simple Lie group G′ into a connected simple Lie group G, and to derive a standard procedure for evaluating branching rules. It is shown that the weight systems of the irreducible parts contained in the representation of G′ induced by a given finite dimensional ...
Navon, A., Patera, J.
openaire   +2 more sources

Non-simple groups which are the product of simple groups

Archiv der Mathematik, 1989
This paper investigates the structure of groups with non-trivial center which can be written as a product of two simple subgroups. Examples must be covering groups of simple groups. For example \(2\cdot PSU(4,3)=AB\) where \(A\simeq PSp(4,3)\) and \(B\simeq PSL(4,3)\) and \(3\cdot PSU(4,3)=AB\) where \(A\simeq PSp(4,3)\) and \(B\simeq PSU(3,3).\) The ...
openaire   +1 more source

The group SK1 for simple algebras

K-Theory, 2006
An algebra \(A\) over a field \(F\) is a `central simple algebra' if, over the algebraic closure of \(F\), \(A\) is isomorphic to a matrix algebra. The square root of the dimension of \(A\) is called its `degree'. It is known that \(A\simeq M_n(D)\) for a central division algebra \(D\) over \(F\). We call the degree of \(D\) the `index' of \(A\). Let \(
openaire   +1 more source

The probability of generating a finite simple group

, 2013
Nina E. Menezes, M. Quick, C. Roney‐Dougal   +2 more
semanticscholar   +1 more source

Unrecognizability by Spectrum for a Finite Simple Group 3D4(2)

, 2013
V. Mazurov
semanticscholar   +1 more source

Performance of IOTA Simple Rules, Simple Rules risk assessment, ADNEX model and O‐RADS in differentiating between benign and malignant adnexal lesions in North American women

Ultrasound in Obstetrics and Gynecology, 2022
Adam Kinney Hiett, Jiří Sonek, M Guy
exaly  

Assessing differences between simple slopes in simple slopes analysis

Journal of Business Research, 2023
Sang-June Park, Youjae Yi
exaly  

A simple group generated by involutions interchanging residue classes of the integers

, 2010
S. Kohl
semanticscholar   +1 more source