@article {10.3844/jmssp.2012.111.113,
article_type = {journal},
title = {On the Derived Subgroups of Some Finite Groups},
author = {Rashid, S. and Sarmin, N. H. and Erfanian, A. and Ali, N. M. Mohd},
volume = {8},
year = {2012},
month = {Feb},
pages = {111-113},
doi = {10.3844/jmssp.2012.111.113},
url = {https://thescipub.com/abstract/jmssp.2012.111.113},
abstract = {Problem statement: In this study we focus on the derived subgroup of nonabelian 3-generator groups of order p3q, where p and q are distinct primes and p < q. Our main objective is to compute the derived subgroup for these groups up to isomorphism. Approach: In a group G, the derived subgroup G' = [G, G] is generated by the set of commutators of G, K (G) = {[x, y]| x, y ∈ G} and introduced by Dedekind. The relations of the group are used to compute the derived subgroup. Results: The results show that the derived subgroup of nonabelian 3-generator groups of order p3q is a cyclic group, Q8 or A4. Conclusion/Recommendations: The problem can be considered to compute the derived subgroup of these groups without the use of the relations.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}