Uniformly Generated Submodules of Permutation Modules
Søren Riis September 1998 |

## Abstract:This paper is motivated by a link between algebraic proof complexity and the representation theory of the finite symmetric groups. Our perspective leads to a series of non-traditional problems in the representation theory of . Most of our technical results concern
the structure of ``uniformly'' generated submodules of permutation modules.
We consider (for example) sequences of submodules of the permutation
modules and prove that if the modules are given in a
uniform way - which we make precise - the dimension We sketch the
link between our structure theorems and proof complexity questions, which can
be viewed as special cases of the famous
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