TY - JOUR

T1 - The Factorization of p in Q(a 1/pk) and the Genus Field of Q(a1/n)

AU - Vélez, William Yslas

PY - 1988/6

Y1 - 1988/6

N2 - Let xpk-a be irreducible over Q. The first part of this paper is to explicitly give the decomposition rules for the factorization of p in the ring of integers of Q(a1/pk). As an application of the above we use these results to determine the genus field of Q(a1/n), where xn-a is irreducible over Q and we make no restrictions on a.

AB - Let xpk-a be irreducible over Q. The first part of this paper is to explicitly give the decomposition rules for the factorization of p in the ring of integers of Q(a1/pk). As an application of the above we use these results to determine the genus field of Q(a1/n), where xn-a is irreducible over Q and we make no restrictions on a.

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U2 - 10.3836/tjm/1270134258

DO - 10.3836/tjm/1270134258

M3 - Article

AN - SCOPUS:84972513729

VL - 11

SP - 1

EP - 19

JO - Tokyo Journal of Mathematics

JF - Tokyo Journal of Mathematics

SN - 0387-3870

IS - 1

ER -