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Influence of the number of elements in a maximal order on the structure of a finite group

Yanxiong Yan

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Abstract

In this paper,we discuss a finite group G with 4p2 elements of maximal order,and get a theorem :Suppose that |M(G)|=4p2,n=2p or n=2p2,where p is a prime,then G is a solvable group.

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What this paper is about

In this paper,we discuss a finite group G with 4p2 elements of maximal order,and get a theorem :Suppose that |M(G)|=4p2,n=2p or n=2p2,where p is a prime,then G is a solvable group.

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Available abstract

In this paper,we discuss a finite group G with 4p2 elements of maximal order,and get a theorem :Suppose that |M(G)|=4p2,n=2p or n=2p2,where p is a prime,then G is a solvable group.

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

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