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Vertex Operator Algebra for Finite Group Theory (Finite Simple Groups and Related Topics)
, 2004 雅彦 宮本
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What kind of urban-rural basic public services can affect the urban-rural income gap?-an analysis of FsQCA based on the TOE framework. [PDF]
Front Public HealthHe Q, Dong T, Gadan C.
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Factorizations of almost simple groups with a solvable factor
, 2014 Cai Heng Li, Binzhou Xia
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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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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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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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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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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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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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A characteristically simple group
Mathematical Proceedings of the Cambridge Philosophical Society, 1954The 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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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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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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