# Importing require modules
from groups import Group
from pure import setCrossProd
# Creating group and subgroup
print("Create (64,x)")
G = Group("mult",64)
G.g("show")
GS = G.sub([7,17])
GS.g("show")
# print the sub group components
print("Inverse of element 25 = ",GS.inv(25))
print("Multiplication of 7 and 25 = ",GS.op(7,25))
print("18 to the power 3 = ",GS.pow(15,3))
GSg = GS.g()
GSgo = GS.go()
for g,go in zip(GSg,GSgo):
print("Element: ",g," has order: ",go)
# Importing require modules
from groups import Group
from pure import setCrossProd
# Creating group and subgroup
print("Create (120,+)")
G = Group("add", 120)
G.g("show")
GS = G.sub([15, 30, 60])
# print the sub group components
GSg = GS.g()
GS.g("show")
print("Inverse of element 15 = ", GS.inv(15))
print("Multiplication of 15 and 30 = ", GS.op(15, 30))
print("15 to the power 3 = ", GS.pow(15, 3))
GSgo = GS.go()
for g, go in zip(GSg, GSgo):
print("Element: ", g, " has order: ", go)
# Importing require modules
from groups import Group
# Creating group and subgroup
print("Create (6,+)x(9,x) group")
G = Group(["add", "mult"], [6, 9])
G.g("show")
print("Print order of [0,1] is: ", G.go([0, 1]))
print("Create sub group with elements 2 and 22")
g2 = G.g(2)
g22 = G.g(22)
GS = G.sub([g2, g22])
GSg = GS.g("show")
g2 = GS.g(2)
print("Element 2 = ", g2)
print("Inverse of element 2 = ", GS.inv(g2))
g4 = GS.g(4)
g5 = GS.g(5)
print("Element 4 = ", g4)
print("Element 5 = ", g5)
print("Multiplication of element 4 and element 5 = ", GS.op(g4, g5))
print("Element 4 to the power of 3 = ", GS.pow(g4, 3))
print("Group orders:")
GSg = GS.g()
GSgo = GS.go()
print(GSgo)