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

Author

Kolodnytsky, Mykola M. ; Koivalchuk, A.M. ; Kuryata, Sergiy V. ; Levitsky, Vyacheslav G.

Author_Institution

Dept. of Comput. Software, Zhytomyr Inst. of Eng. & Technol., Ukraine

fYear

2001

fDate

19-22 June 2001

Firstpage

409

Abstract

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.

Keywords

courseware; graphical user interfaces; group theory; interactive systems; mathematics computing; symbol manipulation; teaching; DSR Open Lab 1; Maple V Release 5; computational problems; factor-group; finite group theory; genetic code; group elements; interactive visual software system; normal subgroup; problem solving; subgroups; teaching; user interface implementation; visual user interface; Algebra; Content addressable storage; Education; Genetics; Packaging; Power generation; Problem-solving; Software systems; Software tools; User interfaces;

fLanguage

English

Publisher

ieee

Conference_Titel

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

ISSN

1330-1012

Print_ISBN

953-96769-3-2

Type

conf

DOI

10.1109/ITI.2001.938049

Filename

938049