• Title of article

    GROUND SUBGROUPS

  • Author/Authors

    ROZIKOV, U.A. Institute of Mathematics and Information Technologies, Uzbekistan

  • From page
    271
  • To page
    278
  • 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
  • Record number

    2527773