An extended Stickelberger ideal of the compositum of a bicyclic field and an imaginary quadratic field

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Authors	TRNKOVÁ Veronika
Year of publication	2013
Type	Article in Periodical
Magazine / Source	Mathematica Slovaca
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.2478/s12175-012-0081-2
Field	General mathematics
Keywords	Stickelberger ideal; bicyclic field; class number
Description	We consider certain extension of the Stickelberger ideal of the compositum of a bicyclic field and a quadratic imaginary field, obtained by adding new annihilators to the Stickelberger ideal. We compute the index of this extension, from which we get some divisibility properties for the relative class number of the compositum.
Related projects:	Algebraic and geometric methods and structures