2007Journal of Chongqing College of EducationRequires access

A class of special finite groups

Yanxiong Yan

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Abstract

This paper studies such the finfte groups with 4p elements of maximal order any gets a theorem as follows: Suppose G is a finite group having 4p elements oh maximal order,where p is a prime,then either G is solvable or G≌A5·2=S5·.

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This paper studies such the finfte groups with 4p elements of maximal order any gets a theorem as follows: Suppose G is a finite group having 4p elements oh maximal order,where p is a prime,then either G is solvable or G≌A5·2=S5·.

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Available abstract

This paper studies such the finfte groups with 4p elements of maximal order any gets a theorem as follows: Suppose G is a finite group having 4p elements oh maximal order,where p is a prime,then either G is solvable or G≌A5·2=S5·.

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

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