Glasnik Matematicki, Vol. 43, No.1 (2008), 25-40.

AUTOMORPHISM GROUPS OF FINITE RINGS OF CHARACTERISTIC p2 AND p3

Chiteng'a John Chikunji

Department of Basic Sciences, Botswana College of Agriculture, Gaborone, Botswana
e-mail: jchikunj@bca.bw

Abstract.   In this paper we describe the group of automorphisms of a completely primary finite ring R of characteristic p2 or p3 with Jacobson radical J such that J3=(0), J2 ≠ (0); the annihilator of J coincides with J2; and the maximal Galois (coefficient) subring R0 of R lies in the center of R.

2000 Mathematics Subject Classification.   16N10, 20B25, 16N40, 15A03.

Key words and phrases.   Completely primary finite ring, automorphism group, Galois ring.

Full text (PDF) (free access)

DOI: 10.3336/gm.43.1.04

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