Results 281 to 290 of about 25,178,865 (330)

On Simple Pseudofinite Groups

Journal of the London Mathematical Society, 1995
A group \(G\) is called pseudofinite if it is an infinite model of the first-order theory of finite groups. The study of these groups was begun in 1988 by the reviewer who realized, that a classification of all simple pseudofinite groups might be possible.
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On the Spread of Finite Simple Groups

Combinatorica, 2003
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Robert M. Guralnick, Aner Shalev
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An Adjacency Criterion for the Prime Graph of a Finite Simple Group

, 2005
For every finite non-Abelian simple group, we give an exhaustive arithmetic criterion for adjacency of vertices in a prime graph of the group. For the prime graph of every finite simple group, this criterion is used to determine an independent set with a
A. V. Vasil'ev, E. Vdovin
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Groups saturated by finite simple groups

Algebra and Logic, 2009
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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 presentation for the Lyons simple group

, 1999
We give a presentation of the Lyons simple group together with information on a complete computational proof that the presentation is correct. This fills a longstanding gap in the literature on the sporadic simple groups. This presentation is a basis for various matrix and permutation representations of the group.
G. Havas, C. Sims
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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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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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Distinguishing Little-Higgs Product and Simple Group models at the LHC and ILC

, 2006
We propose a means to discriminate between the two basic variants of Little Higgs models, the Product Group and Simple Group models, at the next generation of colliders.
W. Kilian, D. Rainwater, J. Reuter
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