Altunbulak, F.Yalçın, E.2016-02-082016-02-0820070022-4049http://hdl.handle.net/11693/23579We give an alternative proof to a theorem of Carlson [J.F. Carlson, Cohomology and induction from elementary abelian subgroups, Quart. J. Math. 51 (2000) 169-181] which states that if G is a finite group and k is a field of characteristic p, then any k G-module is a direct summand of a module which has a filtration whose sections are induced from elementary abelian p-subgroups of G. We also prove two new theorems which are closely related to Carlson's theorem. © 2005 Elsevier Ltd. All rights reserved.EnglishArticle10.1016/j.jpaa.2005.11.0031873-1376