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math.CO2022
Submodular functions in additive combinatorics problems for group actions and representations
Vincent Beck, Cédric Lecouvey
We establish analogues in the context of group actions or group representations of some classical problems and results in additive combinatorics of groups. We also study the notion…
math.CO2015
Additive combinatorics methods in associative algebras
Vincent Beck, Cédric Lecouvey
We adapt methods coming from additive combinatorics in groups to the study of linear span in associative unital algebras. In particular, we establish for these algebras analogues o…