Erkuş, DENİZ ERDEMİRCİMadran, Ugur2023-06-162023-06-1620160022-40491873-1376https://doi.org/10.1016/j.jpaa.2016.01.003https://hdl.handle.net/20.500.14365/1309Let G be a finite group with a faithful representation V over a field F of odd characteristic p, where the order of G is divisible by p. In this article, it is proved that the generalized invariant module of G coincides with the (polynomial) invariant ring of the representation under a necessary and sufficient group theoretical condition. Moreover, the structure of the generalized invariant module for any finite group is determined, providing a tool for computing this module. (C) 2016 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessArticle10.1016/j.jpaa.2016.01.0032-s2.0-84957084305