Resumen de Selmer groups over - adic lie extensions I

Sarah Livia Zerbes

• Let be an elliptic curve defined over a number field . The paper concerns the structure of the -Selmer group of over -adic Lie extensions of which are obtained by adjoining to the -division points of an abelian variety defined over . The main focus of the paper is the calculation of the Gal-Euler characteristic of the -Selmer group of . The main theory is illustrated with the example of an elliptic curve of conductor 294.