TY - JOUR
T1 - Genus fields of congruence function fields
AU - Maldonado-Ramírez, Myriam
AU - Rzedowski-Calderón, Martha
AU - Villa-Salvador, Gabriel
N1 - Publisher Copyright:
© 2016 Elsevier Inc.
PY - 2017/3/1
Y1 - 2017/3/1
N2 - Let k be a rational congruence function field and consider a finite separable extension K/k. We consider the extension K/k satisfying the following condition. For each prime in k at least one prime in K above it is tamely ramified. Then, except for constants, we find the genus field Kge of K/k. In general, we describe the genus field of a global function field. We present some applications and examples of the main results.
AB - Let k be a rational congruence function field and consider a finite separable extension K/k. We consider the extension K/k satisfying the following condition. For each prime in k at least one prime in K above it is tamely ramified. Then, except for constants, we find the genus field Kge of K/k. In general, we describe the genus field of a global function field. We present some applications and examples of the main results.
KW - Cyclotomic function fields
KW - Genus fields
KW - Global function fields
UR - http://www.scopus.com/inward/record.url?scp=84996483364&partnerID=8YFLogxK
U2 - 10.1016/j.ffa.2016.10.001
DO - 10.1016/j.ffa.2016.10.001
M3 - Artículo
SN - 1071-5797
VL - 44
SP - 56
EP - 75
JO - Finite Fields and their Applications
JF - Finite Fields and their Applications
ER -