Results 231 to 240 of about 1,813,528 (268)

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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SIMPLE ALMOST HYPERDEFINABLE GROUPS

Journal of Mathematical Logic, 2006
(i) We lay down the groundwork for the treatment of almost hyperdefinable groups: notions from [5] are put into a natural hierarchy, and new notions, essential to the study to such groups, fit elegantly into this hierarchy. (ii) We show that "classical" properties of definable and hyperdefinable groups in simple theories can be generalised to this ...
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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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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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Localization and finite simple groups

Israel Journal of Mathematics, 2006
Let \(H\) and \(G\) be groups. A group homomorphism from \(H\) to \(G\) is called a localization if and only if it induces a bijection between \(\Hom(G,G)\) and \(\Hom(H,G)\). Following \textit{J. L. Rodríguez, J. Scherer} and \textit{J. Thévenaz} [Isr. J. Math.
Parker, Chris, Saxl, Jan
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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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Assessing differences between simple slopes in simple slopes analysis

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

Embeddings into Simple Groups

Journal of the London Mathematical Society, 1976
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Simple Groups and Simple Lie Algebras

Journal of the London Mathematical Society, 1965
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