On the Eelatively Abelian Corpora. Q\ 



be tlie divisors of 



of degrees 



^;ci-i,_??c.'-ï, ,g''i-i, gf?j-i, , ,r^i-],r"--'-i, 



respective]}- ; and let B be a divisor of A, snch that 



(i) A^B^ac;, A'-D^. EiE!, S,S, 1\T, , 



( ii ) the relative degree of A with i-espect to B is pq ?% 



(iii) B does not contain any one of Cj, C.,, , D^.D., , 



,E^,E.,, completely. 



Then it can easily- be seen that this corpus B must be composed of 

 the following corpora: 



a derived corpus of C^,C.., , 



a derived corpus of Di,D.,, , 



a derived corpus of E^, E., 



S„ S,, , 



T„ r.., • , 



§. 20. 



Let 7)1 be a natural number, such that 



VI = r:;'i -«^ 



where -j,-.,, are distinct primes in the corpus l(f>). Tlien 



Ä(m)-,5'(-^)5'(;7^-->) 



The relative degree of 'S'(-^'), i = 1,2, , is 



ç'(-^''), when 77^ is odd, 



y(^')' when - = 2. 



Therefore the relative degree of >S''(w?.) is 



f (?»), when 7u is odd, 



^(f(i)i), when 771 is even. 



