群的判断算法设计

介绍了代数系统和群的定义以及群在计算机等领域的应用,设计了对给定集合与运算是否构成代数系统、给定的代数系统是否为半群、半群是否能够构成独异点、独异点是否能够构成群的判断算法,并进行了算法分析,完成了群的判断系统流程图;并通过Java语言实现该系统,把抽象难以理解的代数系统中的群论问题通过形象直观的程序软件表现出来。

Design of Group Judgment Algorithm

The definition of algebra system and group, and the applications of group in the field of computer and others are introduced. We design a given set and operation whether they constitute an algebra system, whether the given algebraic system is the semigroup, whether the semigroup can constitute a monoid, and whether a monoid can constitute the algorithm of judgment for the group. Then we analyze the algorithm and complete the flow chart of the groupjudgment system. The system is implemented through Java language, which makes the algebraic system theory, which is abstract and difficult to understand, be shown by a visual and intuitive software program.