Results 251 to 260 of about 10,924,025 (294)

On the Spread of Finite Simple Groups

Combinatorica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert M. Guralnick, Aner Shalev
openaire   +2 more sources

A characteristically simple group

Mathematical Proceedings of the Cambridge Philosophical Society, 1954
The object of this note is to give an example of an infinite locally finite p-group which has no proper characteristic subgroup except the unit group. (A group G is a locally finite p-group if every finite set of elements of G generates a subgroup of finite order equal to a power of the prime p.) It is known that an infinite locally finite p-group ...
openaire   +2 more sources

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.
openaire   +2 more sources

Groups saturated by finite simple groups

Algebra and Logic, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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
openaire   +2 more sources

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 ...
openaire   +1 more source

The Classification of the Finite Simple Groups

The Mathematical Intelligencer, 1980
This article on the classification of finite simple groups is directed towards a broad audience. The author poses some natural questions connected with finite groups and in particular with finite simple groups. He explains in a lucid way why these questions have particular answers.
openaire   +3 more sources

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.
openaire   +3 more sources

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 ...
openaire   +2 more sources

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