Least Criminals for Some Given Conjectures in Group Theory

Authors

  • Nor Haniza Sarmin
  • Sheila Ilangovan

DOI:

https://doi.org/10.11113/matematika.v20.n.150

Abstract

In the theory of finite groups, many major theorems have been proved by the minimum counterexample technique or sometimes called “least criminals” technique. It uses the fact that if there is a counterexample to a given theorem, then there is a counterexample of smallest possible order. In this paper, we will find the least criminals for five given conjectures in group theory. Keywords: Least Criminals; Group Theory; Conjectures

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Published

01-12-2004

Issue

Volume 20 (December 2004)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Least Criminals for Some Given Conjectures in Group Theory. (2004). MATEMATIKA, 20, 111–114. https://doi.org/10.11113/matematika.v20.n.150