Skip to main content
Commonmark migration
Source Link

Berkovich mentioned the following result of Mann in his book on p-groups:

The number of nonlinear irreducible characters of given degree in a p-group is divided by p-1.

Do you know any reference for this statement? Also, I would like to ask you if a similar assertion holds for conjugacy classes.

Berkovich mentioned the following result of Mann in his book on p-groups:

The number of nonlinear irreducible characters of given degree in a p-group is divided by p-1.

Do you know any reference for this statement? Also, I would like to ask you if a similar assertion holds for conjugacy classes.

Berkovich mentioned the following result of Mann in his book on p-groups:

The number of nonlinear irreducible characters of given degree in a p-group is divided by p-1.

Do you know any reference for this statement? Also, I would like to ask you if a similar assertion holds for conjugacy classes.

edited tags
Link
Amin
  • 307
  • 1
  • 5
Source Link
Amin
  • 307
  • 1
  • 5

Characters of p-groups

Berkovich mentioned the following result of Mann in his book on p-groups:

The number of nonlinear irreducible characters of given degree in a p-group is divided by p-1.

Do you know any reference for this statement? Also, I would like to ask you if a similar assertion holds for conjugacy classes.