THE STRUCTURE OF THE PERMUTATION MODULES FOR TRANSITIVE ABELIAN GROUPS FOR PRIME-POWER-ORDER

Mohammed A., Ngulde, S.G. & Mandara A.V.

Department of Mathematics and Statistics,

University of Maiduguri, Borno State, Nigeria

                      Email: abdullahi1960@gmail.com

ABSTRACT

In this paper, we gave the well-known classification of transitive abelian groups of prime-power order before analyzing the structure of their permutation modules over fields of characteristic p. For a given prime number p, we have analysed the structure of the permutation module on characteristic p associated with transitive abelian p-groups of degree p^m (m ≥1).