Prof. Ricardo Nunes de Oliveira

GAP routines - Cubic polynomial conditions.

These routines are written in GAP language. They were used to generate relations in a group algebra of a group generated by a,b modulo a finite number of cubic relations (x-1)^3=0, in a joint work with Alexandre Griskov - IME/USP and Said Sidki - MAT/UnB, On groups with cubic polynomial conditions( ref. arxiv ).

Últimas Notícias
PRINTPOL_strg This function prints a non-commutative polynomial as an input to a tex file.
ORDERING This file provides a non-standard ordering for the monomials in the cubic algebra. The order is U < V < U^2 < V^2; syllable length of monomials; total length; reverse lexicographical ordering.
readall This file is provided to call the others functions and set some parameters.
rel This routine produces a PDF file of relations from readrel. This function calls another function: MULTREL, PRINTPOL; This function calls external function: pdflatex, rm.
mrep This file provides a matricial representations of the cubic algebra, here we use the GAP packge GBNP.

This file provides a non-standard ordering for the monomials in the cubic algebra. The order is

This file provides a matricial representations of the cubic algebra, here we use the GAP packge GBNP.