The Inductive McKay Condition for Simple Groups Not of Lie Type

Abstract

We show that the alternating groups, the sporadic groups and the exceptional covering groups of groups of Lie type satisfy the inductive condition required to verify the McKay conjecture for finite groups.

Key Words:

• Character bijections
• Counting characters
• McKay conjecture

2000 Mathematics Subject Classification:

• 20C33
• 20C34
• 20C15

Notes

Communicated by A. Turull.