A theorem of Jon F. Carlson on filtrations of modules
Journal of Pure and Applied Algebra
Elsevier BV * North - Holland
15 - 28
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We 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.