Let G be an nonabelian has oder of 8. Let x be a character. Show that x(1)=1

Printable View

- Jan 24th 2011, 10:56 PMthanhutheHelp about rep group!
Let G be an nonabelian has oder of 8. Let x be a character. Show that x(1)=1

- Jan 25th 2011, 12:48 AMtonio
- Jan 25th 2011, 02:44 AMTheArtofSymmetry
Do you mean a multiplicative character (linear character) or a character of a representation? If you are referring the latter, it is not always true that x(1)=1.

For example, can be a matrix representation (verify this), which maps the identity of to identity matrix in , i.e., , where is the character of . - Feb 16th 2011, 05:18 AMthanhuthe
Thanks so much!