Polynomial evaluation groupoids and their groups

Document Type : Research Paper


1 Department of Mathematics‎, ‎Research Institute for Natural Sciences‎, ‎Hanyang University‎, ‎Seoul 04763‎, ‎Korea.

2 Department of Mathematics‎, ‎University of Alabama‎, ‎Tuscaloosa‎, ‎AL 35487-0350‎, ‎USA.


In this paper, we show how certain metabelian groups can be found within polynomial evaluation groupoids. We show that every finite abelian group can be obtained as a polynomial evaluation groupoid.


Main Subjects

P. J. Allen, H. S. Kim and J. Neggers, Smarandache algebras and their subgroups, Bull. Iranian Math. Soc. 38 (2012), no. 4, 1063--1077.
T. W. Hungerford, Algebra, Holt, Rinehart and Winston, Inc., New York-Montreal, Que.-London, 1974.