# Permutations avoiding arithmetic patterns Artikel i vetenskaplig tidskrift, 2004

A permutation $\pi$ of an abelian group $G$ (that is, a bijection from $G$ to itself) will be said to avoid arithmetic progressions if there does not exist any triple $(a,b,c)$ of elements of $G$, not all equal, such that $c-b=b-a$ and $\pi(c)-\pi(b)=\pi(b)-\pi(a)$. The basic question is, which abelian groups possess such a permutation ? This and problems of a similar nature will be considered.

## Författare

### Peter Hegarty

Chalmers, Institutionen för matematik

Göteborgs universitet

#### Electron. J. Combin.

Vol. 11 1 21 pages-

Annan matematik

2017-10-08