JournalscmhVol. 73 , No. 4DOI 10.1007/s000140050068

S.A.G.B.I. bases for rings of formal modular seminvariants

  • R. J. Shank

    Queen's University, Kingston, Canada
S.A.G.B.I. bases for rings of formal modular seminvariants cover

Abstract

We use the theory of S.A.G.B.I. bases to construct a generating set for the ring of invariants for the four and five dimensional indecomposable modular representations of a cyclic group of prime order. We observe that for the four dimensional representation the ring of invariants is generated in degrees less than or equal to 2p-3, and for the five dimensional representation the ring of invariants is generated in degrees less than or equal to 2p-2.