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CHARACTERIZATION OF THE GROUPS Dp+1(2) AND Dp+1(3) USING ORDER COMPONENTS

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In this paper we will prove that the groups Dp+1(2) and Dp+1(3), where p is an odd prime number, are uniquely determined by their sets of order components. A main consequence of our result is the validity of Thompson’s conjecture for the groups Dp+1(2) and Dp+1(3).

Abstract

In this paper we will prove that the groups Dp+1(2) and Dp+1(3), where p is an odd prime number, are uniquely determined by their sets of order components. A main consequence of our result is the validity of Thompson’s conjecture for the groups Dp+1(2) and Dp+1(3).

참고문헌 (25)

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