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阶与n互素的群均可解之数n
引用本文:何军华,蒲伟.阶与n互素的群均可解之数n[J].西南师范大学学报(自然科学版),1999(6).
作者姓名:何军华  蒲伟
作者单位:电子科技大学数学系!成都,610054,西南师范大学数学系!重庆,400715
摘    要:正整数n称为可解互素数(简记为SC-数),若G是阶与n互素的有限群,则G必可解得到了以下主要定理定理1设n为正整数,则n为SC-数当且仅当n被2或15整除

关 键 词:可解性  互素数  群的阶

On the number n which makes any group with order prime to n solvable
He Junhua.On the number n which makes any group with order prime to n solvable[J].Journal of Southwest China Normal University(Natural Science),1999(6).
Authors:He Junhua
Abstract:A positive integer n is called solvable coprime numher (briefly,SC-NUMBER) if n satisfy the condition: If the order of a finite group G is prime to n, the G is solvable. The following theorem is obtained Theorem Let n be a Positive integer, then n is a SC-number if and only if n is divisible by 2 or 15.
Keywords:solvability  coprime number  order of group
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