On Linear Combinatorics II. Structure Theorems via Additive Number Theory

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with few compositions and/or small image sets. Here the fine structure of such sets of mappings will be described in terms of generalized arithmetic and geometric progressions, yielding Freiman–Ruzsa type results for a non-Abelian group.

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Received: November 28, 1996

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Elekes, G. On Linear Combinatorics II. Structure Theorems via Additive Number Theory. Combinatorica 18, 13–25 (1998). https://doi.org/10.1007/PL00009806

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  • AMS Subject Classification (1991) Classes:  20F12, 51A25, 52C10