有限群论解题与教学的交互式可视化软件系统

Proceedings of the 23rd International Conference on Information Technology Interfaces, 2001. ITI 2001. Pub Date : 2001-06-19 DOI:10.1109/ITI.2001.938049

M.M. Kolodnytsky, A.M. Koivalchuk, S.V. Kuryata, V. Levitsky

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引用次数: 0

摘要

本文介绍了如何利用作者设计开发的软件系统“DSR开放实验室1.0”解决有限群论中的一些计算问题。我们考虑这样的计算问题:使用给定元素或遗传密码(生成器和关系)构造群，与群元素的运算以及子群及其幂、正规子群、因子群等的计算。我们还将本软件的用户界面实现与Maple V Release 5进行了比较。实例表明，由于所提供的软件具有可视化的用户界面，有限群论的解题和教学过程变得更加容易和更具交互性。

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Interactive visual software system for problem solving and teaching in finite group theory

The article shows how to solve some computational problems in finite group theory using the software system "DSR Open Lab 1.0" designed and developed by authors. We consider such computational problems as follows: the construction of the group using given elements or a genetic code (generators and relations), the operations with the group elements as well as the calculations of subgroups and their powers, normal subgroup, factor-group, etc. We also give a comparison of the user interface implementation of our software with Maple V Release 5. The presented examples show that the process of problem solving and teaching in finite group theory has become easier and more interactive now, due to the visual user interface of the presented software.

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Proceedings of the 23rd International Conference on Information Technology Interfaces, 2001. ITI 2001.

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