NORMAL SUBGROUPS OF INDEX 8 IN THE GROUP REPRESENTATION OF THE CAYLEY TREE

Many papers and books have been written on the theory of groups. However, there are still unsolved problems, many of which arise in fields such as physics, biology, and other natural sciences. For example, when the configuration of a physical system is defined on a lattice (which can be viewed as a graph of a group), the configuration may be interpreted as a function defined over the lattice. Numerous studies have explored different types of partitions in groups (lattices) (see for example [1]-[3]).