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Let R be a commutative ring, and let V be a finitelygenerated freei?-module. Let R[V] be a polynomial ring over R associated with V. Then a finitesubgroup G of GL(V) acts naturally on R[V]. We denote by R[V]G the ring of invariants of R[V] under the action of G. Let R=k be a fieldand suppose that \G\is a unit of k. It is known ([4],[9], [3],[8]) that k[V]G is a polynomial ring if and only if G is generated by pseudoreflectionsin GL{V). But, in the case where \G\=0 mod char{k), there are only the following results: (1) L. E. Dickson [5]; FqlTu ・・・,rB]O£cn.9) an(jFq[Tu ■-,TnfLin^ are polynomial rings, where Fq is the finitefieldof q elements. (2) M.-J. Bertin [1]; Fq[Tu ■・-, Tnfnipin-^ is a polynomial ring, where

Invariants of finite groups generated by pseudo-reflections in positive characteristic