%0 Journal Article %T On the automorphism group of a certain infinite type domain in $\mathbb C^2$ %A Ninh Van Thu %J Mathematics %D 2015 %I arXiv %X In this article, we consider an infinite type domain $\Omega_P$ in $\mathbb C^2$. The purpose of this paper is to investigate the holomorphic vector fields tangent to an infinite type model in $\mathbb C^2$ vanishing at an infinite type point and to give an explicit description of the automorphism group of $\Omega_P$. %U http://arxiv.org/abs/1506.01820v1