group

Working with groups. Basic operations, and information. Now suports only cyclic and symmetric groups

Why?

This is mostly for better understanding Group theory.

Usage

import groups
gr1 = groups.Sn(4) # Create symmetric group
gr2 = groups.Zn(4) # Create cyclic group
# Check is groups is Abelian
gr1.is_abelian()
gr2.is_abelian()

API

group.setBinOp

Set binary operation to the group. By default is is modulo operation

import groups
gr = groups.Zn(4)
gr.set_binop(lambda (x,y): x + y)

group.is_abelian

Return True if group is abelian and False otherwise

group.inverse

Return inverse element if exist

group.elements

Return elements of the group