Degree of irreducible representation over reals divides twice the group order
From Groupprops
Revision as of 00:45, 24 February 2011 by Vipul (talk | contribs) (Created page with "==Statement== Suppose <math>G</math> is a finite group and <math>d</math> is the degree of an irreducible linear representation of <math>G</math> over the [[field of rea...")
Statement
Suppose is a finite group and
is the degree of an irreducible linear representation of
over the field of real numbers
. Then,
divides
, where
denotes the order of
.
Facts used
- Degree of irreducible representation divides group order (where the irreducible representation is over an algebraically closed field of characteristic zero)