Title of article :
GROUND SUBGROUPS
Author/Authors :
ROZIKOV, U.A. Institute of Mathematics and Information Technologies, Uzbekistan
Abstract :
In this article we give a concept of ground subgroup for finite and countable groups. By our definition such a subgroup of a group depends on a given subset of the group and on a given partition of the subset. For finite and free groups we describe some sets of ground subgroups. We apply the ground subgroups to describe ground states of a model of statistical mechanics.
Keywords :
group , subgroup , ground subgroup , ground state , con¯guration , Hamiltonian
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
