Results 301 to 310 of about 6,465,245 (340)

Groups saturated by finite simple groups

Algebra and Logic, 2009
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On simple groups and simple singularities

Israel Journal of Mathematics, 2001
Let \(G\) be a simply-connected simple Chevalley group of type \(A\), \(D\) or \(E\) and \(k\) an algebraically closed field whose characteristic is very good for \(G\). According to a conjecture of Grothendieck a semi-universal deformation (also known as miniversal deformation) of the rational double point of the same type can be obtained via a ...
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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
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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.
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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 ...
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Boolean simple groups and boolean simple rings

The Journal of Symbolic Logic, 1988
Let be a complete Boolean algebra and G a finite simple group in the Scott-Solovay -valued model V() of set theory. If we observe G outside V(), then we get a new group which is denoted by Ĝ. In general, Ĝ is not finite nor simple. Nevertheless Ĝ satisfies every property satisfied by a finite simple group with some translation. In this way, we can get
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A Characterization of Suzuki's Simple Groups

Proceedings of the American Mathematical Society, 1992
Let \(G\) be a finite group. By definition, \(\pi_ e(G)\) is the set of all orders of the elements in \(G\). In the paper under review the Suzuki groups \(Sz(2^{2n+1})\) are characterized by their sets of orders. Theorem 2. \(G\) is isomorphic to \(Sz(2^{2n+1})\) for some \(n\geq 1\) if and only if \(\pi_ e(G)\) consists of 2, 4, all factors of \((2 ...
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HYPERDEFINABLE GROUPS IN SIMPLE THEORIES

Journal of Mathematical Logic, 2001
We study hyperdefinable groups, the most general kind of groups interpretable in a simple theory. After developing their basic theory, we prove the appropriate versions of Hrushovski's group quotient theorem and the Weil–Hrushovski group chunk theorem.
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Sexual health among adolescent and young adult cancer survivors: A scoping review from the Children's Oncology Group Adolescent and Young Adult Oncology Discipline Committee

Ca-A Cancer Journal for Clinicians, 2021
Brooke Cherven, Sharon L Bober, Kristin M Bingen   +2 more
exaly  

Cancer statistics for African American/Black People 2022

Ca-A Cancer Journal for Clinicians, 2022
Angela Giaquinto, Kimberly D Miller, Rebecca L Siegel   +2 more
exaly