IJPAM: Volume 108, No. 1 (2016)
RADICAL ZERO FINITE COMMUTATIVE COMPLETELY
Department of Mathematics
Masinde Muliro University of Science and Technology
P.O. Box 190-50100, Kakamega, KENYA
Department of Mathematics and Computer Science
University of Kabianga
P.O. Box 2030-20200, Kericho, KENYA
Department of Pure and Applied Mathematics
P.O. Box 333, Maseno, KENYA
Abstract. Let be a group. The groups for which is an automorphism group have not been fully characterized. Suppose is a Completely Primary finite Ring with Jacobson Radical such that . In this case, the characteristic of is or and the group of units . The structure of is well known, but its automorphism group is not well documented. Given the group , let denote the group of isomorphisms with multiplication given by the composition of functions. The structure of the automorphism groups of finite groups is intimately connected to the structure of the finite groups themselves. In this note, we determine the structure of using well known procedures and to this end, extend the results previously obtained in this area of research.
Received: February 4, 2016
AMS Subject Classification: 20K30, 16P10
Key Words and Phrases: automorphism groups, unit groups, square radical zero, completely primary rings
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DOI: 10.12732/ijpam.v108i1.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 39 - 48