class function

> This entry is about the term of “class function” as it is used in algebraic contexts. (Such class functions are usually set-maps.) For the notion of the same name in set theory see at *class function (set theory)*.

A function on a group is a **class function** if it is invariant under conjugation action, i.e. it is equivalent to a function on the set of conjugacy classes.

Every group character is in particular a class function.

Revised on June 3, 2017 07:54:57
by Peter Heinig
(2003:58:aa10:db00:a04:639a:b7ef:8b78)