Sextic CM-fields with Galois group (C_2)^3 ⋊ C_3 or (C_2)^3 ⋊ S_3

Bachorikova, Lenka (2020) Sextic CM-fields with Galois group (C_2)^3 ⋊ C_3 or (C_2)^3 ⋊ S_3. Bachelor's Thesis, Mathematics.

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Abstract

In the first two sections of this thesis the theory of number fields and the theory of complex multiplication (CM) is discussed. In the third section, new results are computed, namely the reflex types for two cases. First, where the Galois group of the normal closure of the sextic CM-field K is (C_2)^3 ⋊ C_3 and second, where the Galois group of the normal closure of K is (C_2)^3 ⋊ S_3. Moreover, in the end of the section explicit examples of sextic CM-fields are found and the reflex fields are computed for some of the examples. This thesis ends with discussion over further research in using the results of this bachelor project.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Kilicer, P. and Top, J.
Degree programme:	Mathematics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	15 Jul 2020 09:09
Last Modified:	15 Jul 2020 09:09
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/22698

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