Abstract
Let p be an odd prime and G be a finite split metabelian p-group of exponent p. In this article, we obtain a normal complement of G in (Formula presented.) where F is the field with p elements. Further, assume that (Formula presented.) where A is a finite abelian p-group and (Formula presented.) If F is any finite field of characteristic p, then we prove that G does not have a normal complement in (Formula presented.) and obtain the structure of the unitary subgroup (Formula presented.) Communicated by Sudarshan Kumar Sehgal.