An average equal to 1 for every non-trivial finite group
Mihai Chiş
West University of Timişoara, Timişoara, Romania
Abstract:
For a finite group $G$ and and a set $T^*$ of representatives for
the conjugacy classes of non-trivial elements of $G$, we define a
canonical integer associated with every element in $T^*$ and show
that the average value of this over $T^*$ is equal to $1$.