Nikolaus Conference 2015     

A (semi)group \(S\) is called a Tabor (semi)group if and only if

(T) For all \(x,y\in S\) there is some \(k\in\mathbb N^*\) such that \((xy)^{2^k}=x^{2^k}y^{2^k}\).

In 1985 Józef Tabor pointed out the usefulness of the condition (T), alternativeley to commutativity, for stability investigations of functional equations. In this talk we characterise finite Tabor groups and give some information about Tabor groups where all elements have finite order.