The étale fundamental group of the Néron model of an abelian variety over K is the semidirect product of a finite group with the étale fundamental group of O_K.
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Finiteness for \'{E}tale Fundamental Groups of N\'{e}ron Models
The étale fundamental group of the Néron model of an abelian variety over K is the semidirect product of a finite group with the étale fundamental group of O_K.