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

Dear Forum,

Let A be an associative division algebra (i.e. a skew field), G a subgroup of the multiplicative group of A and E an extension of the additive group A+ of A by G such that G acts on A+ by multiplication in A. Is it true that E always splits? In other words is H^(G,A)=0? Best wishes, V.D. Mazurov

share|improve this question
    
Could you please use the LaTeX environment when writing math formulae? –  Michele Triestino Sep 17 '10 at 6:56
    
If $A$ is a finite field, the answer is yes (see Serre's Local Fields, Prop. 8). But you probably know this already. –  Amritanshu Prasad Nov 23 '10 at 6:27
add comment

Your Answer

 
discard

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

Browse other questions tagged or ask your own question.