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authorSebastiano Tronto <sebastiano.tronto@gmail.com>2019-09-20 11:58:29 +0200
committerSebastiano Tronto <sebastiano.tronto@gmail.com>2019-09-20 11:58:29 +0200
commit92219da8d71978dba52eacd8608351e735bb94ac (patch)
tree6cf3b4869417d535331348372039e0581c605b0b /README.md
parent4667f58199102f43bb2be1772c0ced030b5aaa61 (diff)
downloadkummer-degrees-92219da8d71978dba52eacd8608351e735bb94ac.tar.gz
kummer-degrees-92219da8d71978dba52eacd8608351e735bb94ac.zip
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@@ -48,11 +48,13 @@ computation of degrees for the same group G only require constant time
48Returns the degree of the Kummer extension Q_{M,N}=Q(\zeta_M,G^{1/N}) over Q. 48Returns the degree of the Kummer extension Q_{M,N}=Q(\zeta_M,G^{1/N}) over Q.
49 49
50INPUT: 50INPUT:
51
51* G - a list of generators of the group G 52* G - a list of generators of the group G
52* M - a positive integer 53* M - a positive integer
53* N - a positive divisor of N 54* N - a positive divisor of N
54 55
55OUTPUT: 56OUTPUT:
57
56The degree of the Kummer Extensions Q_{M,N}=Q(\zeta_M,G^{1/N}) over Q. 58The degree of the Kummer Extensions Q_{M,N}=Q(\zeta_M,G^{1/N}) over Q.
57 59
58EXAMPLES: 60EXAMPLES:
@@ -71,9 +73,11 @@ Outputs the description of the failure of maximality for all possible values
71of M and N. 73of M and N.
72 74
73INPUT: 75INPUT:
76
74G - a list of generators for the group G 77G - a list of generators for the group G
75 78
76OUPUT: 79OUPUT:
80
77The first part of the output consist of two positive integers M_0 and N_0. 81The first part of the output consist of two positive integers M_0 and N_0.
78N_0 is always a divisor of M_0. 82N_0 is always a divisor of M_0.
79 83

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