Department of Mathematics, School of Mathematical Sciences, Australian National University, Canberra, 0200, Australia ; Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
Abstract:
We show that any finite set of powers of a fixed prime which includes can be the set of conjugacy class sizes of a -group of nilpotency class . This corresponds to a result of Isaacs for degrees of irreducible characters.