Generators and relations in generalized m-triangular groups over an associative ring. II

This work continues the research started in its first part, where generalized m-triangular groups over an arbitrary associative ring R were studied from the position of generators and relations. The named generators and ratios were identified there uniformly for all values of m. A combinatorial description of the projective factors of these groups was also found there. In combinatorial theory, descriptions of not only some classical subgroups of a complete linear group, but also their natural parts, are of interest. In this part of the work, the generative and defining relations of a generalized elementary triangular group and its projective factor are similarly identified over an arbitrary associative ring R.