On the Relatively Abelian Cor^Dora. 9 



being an algebraic integer, it follows as before, tbat 



are algebraic unities. 



We sball now sum up the results obtained in the present 

 section. 



Let -, -', denote distinct primes in kQ'), not associated with 



l + 2o, then 



iT^)='' 



vco 



'\Jü^^^~^' ^■^■^' 



vco \ _ J_ 



x 





- = (mod. x), 



y-^x, 



— 1, k > 1, 



(1 + 2;.)V' 



where v is any integer in kQ') relatively 2Jrime to the denominator in 

 each case. 



In particular, when ii is a prime in Z'(;'), not associated with 

 l + 2;7, all the roots of the equation 



are divisors of u., and are associated with one anotlier. Since the 

 coefficients in this equation, except the last one, are associated 

 with the elementary symmetric functions of the roots, and also 

 since these coefficients all belong to the corpus 1c{f>), we infer that 

 they are all divisible by ,«. 



When a = l + 2o, we have 



