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2009•Journal of Sichuan University of Science & EngineeringRequires access

On Finite Groups Having 4p~2 Maximal Order Elements

Huang Yan-hua

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Abstract

Finite groups having 4p~2(p3,pis prime)maximal order elements are studied in the paper.The influnces of the numbers of maximal order elements on group G is also discussed.Then we get n,φ(k) from the equation |M(G) | = 4p~2,furtherly,we judge whether G was solvable by the structure of the G,which satisfies the equation | M(G) | = 4p~2.

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Finite groups having 4p~2(p3,pis prime)maximal order elements are studied in the paper.The influnces of the numbers of maximal order elements on group G is also discussed.Then we get n,φ(k) from the equation |M(G) | = 4p~2,furtherly,we judge whether G was solvable by the structure of the G,which satisfies the equation | M(G) | = 4p~2.

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Available abstract

Finite groups having 4p~2(p3,pis prime)maximal order elements are studied in the paper.The influnces of the numbers of maximal order elements on group G is also discussed.Then we get n,φ(k) from the equation |M(G) | = 4p~2,furtherly,we judge whether G was solvable by the structure of the G,which satisfies the equation | M(G) | = 4p~2.

Key concepts: Order (exchange), Prime (order theory), Mathematics, Finite element method, Finite group, Group (periodic table), Combinatorics, Pure mathematics

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