Results 291 to 300 of about 6,532,487 (336)

RATIONAL NEARLY SIMPLE GROUPS

Bulletin of the Australian Mathematical Society, 2020
AbstractA finite group whose irreducible complex characters are rational-valued is called a rational group. The aim of this paper is to determine the rational almost simple and rational quasi-simple groups.
FARIDEH SHAFIEI, MOHAMMAD REZA DARAFSHEH, FARROKH SHIRJIAN   +2 more
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Simple Groups at Play

Scientific American, 2008
The article discusses group theory as it relates to puzzles like Rubik's Cube, which is based on permutation groups, and other types of puzzles the authors invented, based on other sporadic simple groups, including Mathieu groups. Strategies for solving these puzzles are discussed, with sidebars discussing and illustrating group theory.
Igor, Kriz, Paul, Siegel
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Index Four Simple Groups

Canadian Journal of Mathematics, 1978
An index four simple group is a finite simple group, G, with a self-centralizing Sylow p-subgroup whose normalizer in G has order 4p. In this paper index four simple groups having a non-principal ordinary irreducible character of small degree in the ...
Alex, Leo J., Morrow, Dean C.
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Shunkov Groups Saturated with Almost Simple Groups

Algebra and Logic, 2023
A group \(G\) is a Shunkov group if whenever \(H\) is a finite subgroup of \(G\) any two conjugate elements of prime order in the group \(N_G(H)/H\) generate a finite subgroup. The class of such groups forms a generalization of the class of locally finite groups.
Maslova, N. V., Shlepkin, A. A.
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Generators for Simple Groups

Canadian Journal of Mathematics, 1962
The list of known finite simple groups other than the cyclic, alternating, and Mathieu groups consists of the classical groups which are (projective) unimodular, orthogonal, symplectic, and unitary groups, the exceptional groups which are the direct analogues of the exceptional Lie groups, and certain twisted types which are constructed with the aid of
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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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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 ...
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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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Groups saturated by finite simple groups

Algebra and Logic, 2009
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Finite Simple Groups

The American Mathematical Monthly, 1977
(1977). Finite Simple Groups. The American Mathematical Monthly: Vol. 84, No. 9, pp. 693-714.
James F. Hurley, Arunas Rudvalis
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