Extending Endo-monomial Modules

Let G be a finite group with a normal Sylow p-subgroup P. Let 0 be a complete discrete valuation ring with residue field F of characteristic p. Let M be an indecomposable endo-monomial OP-module. In this paper we prove that M extends to an OG-module if and only if M is G-stable. A similar and well-known version for endopermutation modules is due to Dade.Mathematics, AppliedMathematicsSCI(E)中国科学引文数据库(CSCD)0ARTICLE1169-1722