Mihai Chis, Aenea Marin: An average equal to $1$ for every non-trivial finite group, 389-391

Abstract:

For a non-trivial finite group $G$ and for $T^*$ a set of representatives for the conjugacy classes of non-trivial elements in $G$ we define a canonical integer attached to every element in $T^*$ and show that the average value of this integer over $T^*$ is equal to $1$.

Key Words: Conjugacy classes, characters.

2010 Mathematics Subject Classification: Primary 20D60.