Results 281 to 290 of about 5,163,657 (332)

EFFICIENT SIMPLE GROUPS

Communications in Algebra, 2002
We prove that the simple group which has order 372000 is efficient by providing an efficient presentation for it. This leaves one simple group with order less than one million, which has order 979200, whose efficiency or otherwise remains to be determined.
Campbell, C. M.   +3 more
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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   +2 more
openaire   +2 more sources

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.
openaire   +2 more sources

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.
openaire   +1 more source

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