On the Quotient Groups of Subgroups of the Unit Groups of a Class of Completely Primary Finite Rings

Abstract

The study of completely primary nite rings has generated interest- ing results in the structure theory of nite rings with identity. It has been shown that a nite ring can be classi ed by studying the structures of its group of units. But this group has subgroups which are interesting objects of study. Let R be a completely primary nite ring of character- istic pn and J be its Jacobson radical satisfying the condition Jn = (0) and Jnð€€€1 6= (0). In this paper, we characterize the quotient groups of subgroups of the group of units of R. Mathematics Subjec