The tame infinitesimal groups of odd characteristic

Given an infinitesimal group G over an algebraically closed field k of characteristic p⩾3, we provide criteria for the principal block B0(G) of its algebra of distributions to be of tame representation type. These are employed in conjunction with Galois coverings to determine the structure of G modulo its multiplicative center as well as the quiver and the relations of the algebra B0(G).