Permutations Destroying Arithmetic Structure

Electronic Journal Of Combinatorics

Veselin Jungić¹ 

关键词: Pattern Avoidance;    Abelian Groups;    Arithmetic Progressions;    Ramsey Theory;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

Given a linear form $C_1X_1 + \cdots + C_nX_n$, with coefficients in the integers, we characterize exactly the countably infinite abelian groups $G$ for which there exists a permutation $f$ that maps all solutions $(\alpha_1, \ldots , \alpha_n) \in G^n$

【 授权许可】

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