Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

how to prove the simplicity of unitary group over finite fields

share|improve this question
1  
The question you ask in the body is not the same as the question you ask in the title. Please fix this. –  Pete L. Clark Nov 28 '10 at 7:14
add comment

1 Answer 1

A proof that special unitary groups over a field $F$ are generated by transvections -- except when $n = 3$ and $\# F = 4$ in which case the result is not true -- is given in Larry Grove's text: see Theorem 11.15 on page 104.

The simplicity of the projective special unitary group $PSU(V)$ -- except when $(\operatorname{dim} V, \# F)$ is one of $(2,4)$, $(2,9)$ and $(3,4)$ in which cases the result is not true -- is Theorem 11.26 on page 108 of Grove's text.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.