One-loop explicit expressions are derived for the gluon Nielsen identity in formalism of screened massive expansion Yang-Mills theory. The gauge-parameter-independence poles and residues is discussed a strict perturbative context and, more generally, extended resummation schemes. No exact formal proof was reached by approximate schemes, but some evidence gathered favor an invariance phase, cons...

In this paper we give a complete classification of minimal generating systems in very general class Fuchsian groups G. This includes for example any G which has at least seven non-conjugate cyclic subgroups order greater than 2. particular, the well known problematic cases where characteristic exponents equal to 2 are not excluded. We classify up Nielsen equivalence; notion is strongly related ...