A Study of Square Functional Equations on Group Structures
Okechukwu U. Solomon
Department of Physical Science, Rhema University, Aba, Abia State, Nigeria.
Ndubuisi, R. U *
Department of Mathematics, Federal University of Technology, Owerri, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper examines the square functional equation on groups, precisely Klein four - groups and compares its solution set with that of a well-known cubic functional equation. The findings reveal that homomorphisms satisfying this equation differ from those in the previously studied case.
Keywords: Functional equation, groups, square, cubic