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Preprints, Working Papers, ... Year : 2022

Submodular functions in additive combinatorics problems for group actions and representations

Vincent Beck

Abstract

We establish analogues in the context of group actions or group representations of some classical problems and results in addtive combinatorics of groups. We also study the notion of left invariant submodular function defined on power sets which plays a central role in our proofs.
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hal-03816078 , version 1 (15-10-2022)

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Vincent Beck, Cédric Lecouvey. Submodular functions in additive combinatorics problems for group actions and representations. 2022. ⟨hal-03816078⟩
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