Palavra-chave: QUATERNION ORDER

DIVISION ALGEBRA ARITHMETIC FUCHSIAN GROUP SPACE TIME CODES COMMUTATIVE RINGS FUCHSIAN GROUPS HYPERBOLIC TESSELATION GROUP OF UNITS INTEGER RINGS LATTICES HYPERBOLIC SPACE HYPERBOLIC SIGNAL CONSTELLATION HYPERBOLIC TESSELATIONS FUCHSIAN GROUP SIGNAL SPACE CODES DIOPHANTINE EQUATIONS SIGNAL SETS ALGEBRAIC INTEGERS FIELD EXTENSION GRUPOS FUCHSIANOS ISOMETRIES HYPERBOLIC CONSTELLATIONS {P,Q} TESSELLATIONS EDGE-PAIRINGS MAXIMAL ORDER TESSELLATION ÁLGEBRA DOS QUATÉRNIOS GRAPH ANEIS DE INTEIROS ALGEBRICOS CODIGOS GEOMETRICAMENTE UNIFORMES