Recounting: Conjugacy Classes and the Class Formula
Louis Rowen · Algebra · 2018
Recall that b is a conjugate to a in a group G if b = gag~l for suitable g in G. Having seen already in Chapter 5 how conjugacy arises in determining when a subgroup is normal, we want to study conjugacy now in its own right. Sometimes it is useful to note that g~lag = g~ 1 a(g~ 1 ) ~ 1 is also conjugate to a.