Two, more readily computable, equivariant Nielsen numbers II

In this paper, we present and make computations of two equivariant Nielsen type numbers NG(f(H),k(H)) and NG(f(H),k(H)). The second one is new, while the first one extends and clarifies one given earlier by the author and Jianhan Guo. Both numbers were defined here in terms of Nielsen theory of M-ads introduced in the prequel to this work. The theory of M-ads is also used to give both upper and lower bounds on our numbers, and to make specific computations. Our numbers moreover, fit together in the same way that the two Nielsen type periodic point numbers NPn(f) and NΦn(f) fit together. In particular, we show that NG(f(H),k(H)) is greater than or equal to a sum of numbers of the form NG(f(K),k(K)), and give conditions for equality and Möbius inversion. The periodic point theory results are then seen to follow from what are actually generalizations of them.We work with both fixed point, and coincidence point classes, in the context of a category with essentiality which we introduced in the prequel on M-ads. It is intended that this paper be read in tandem with said prequel.