Applied Mathematical Sciences, Vol. 7, 2013, no. 80, 3975 - 3987
HIKARI Ltd, www.m-hikari.com
http://dx.doi.org/10.12988/ams.2013.35270
Testing of Mathematical Group Structure Based on
an Open Source Program (OSP)
Ngarap Im. Manik
Mathematics & Statistics Department, School of Computer Science,
Bina Nusantara University
Jl. K.H. Syahdan No. 9, Palmerah, Jakarta 11480, Indonesia
manik@binus.edu
Don Tasman
Mathematics & Statistics Department, School of Computer Science,
Bina Nusantara University
Jl. K.H. Syahdan No. 9, Palmerah, Jakarta 11480, Indonesia
Pretty Christyaningrum Turang
Mathematics & Statistics Department, School of Computer Science,
Bina Nusantara University
Jl. K.H. Syahdan No. 9, Palmerah, Jakarta 11480, Indonesia
Copyright © 2013 Ngarap Im. Manik et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and
reproduction in any medium, provided the original work is properly cited.
Abstract. Mathematical group structure is part of abstract algebra. It is useful in the
development of solving method of problems that are abstract and difficult to test and
represent through common algebraic operations. Thus, an open source-based computer
program was developed to evaluate and prove a mathematical group structure. Several
groups that are able to be tested and proved are aperiodic group, periodic group, mixed
group, factor group, and normal subgroups. The developed program results showed that
the evaluation of several types of the groups mentioned above performed well and perfect
with a relatively shorter time than the manual test. In this program, the Java programming
language was used since it can run well on several different operating system platforms.
Besides, it is also able to be published free, so that programmers or other researchers can
develop the application program further by adding more useful features.
Keywords: aperiodic group, periodic group, factor group, normal subgroups