#!/usr/bin/python
import sys
sys.path.insert(1, sys.path[0] + '/..')
from groups.read import readName
from groups.about import printAbout
if len(sys.argv) < 2:
sys.stderr.write("Usage: %s group ...\n" % (sys.argv[0],))
sys.exit(2)
sys.stdout.write('[\n');
first = True
for gname in sys.argv[1:]:
g = readName(gname)
if first:
first = False
else:
sys.stdout.write(',\n')
sys.stdout.write('\n')
printAbout(g, out=sys.stdout, indent=' ')
sys.stdout.write('\n\n]\n')
#!/usr/bin/python
import sys
sys.path.insert(1, sys.path[0] + '/..')
from groups.read import readName
from groups.about import printAbout
if len(sys.argv) < 2:
sys.stderr.write("Usage: %s group ...\n" % (sys.argv[0], ))
sys.exit(2)
sys.stdout.write('[\n')
first = True
for gname in sys.argv[1:]:
g = readName(gname)
if first:
first = False
else:
sys.stdout.write(',\n')
sys.stdout.write('\n')
printAbout(g, out=sys.stdout, indent=' ')
sys.stdout.write('\n\n]\n')
#!/usr/bin/python
import sys
sys.path.insert(1, sys.path[0] + '/..')
import groups
from groups.about import printAbout
z4 = groups.Cyclic(4)
g1 = groups.Semidirect(z4, z4, lambda y: lambda x: z4.invert(x)
if y % 2 else x)
gn = groups.Quotient(g1, g1.generate([(2, 2)])) # isomorphic to Q_8
printAbout(gn)
print
#!/usr/bin/python
# -*- coding: utf-8 -*-
"""This program displays the group data (as calculated by ``groups.about``) for
a group generated from a list of permutations specified on the command line.
Each permutation must be written as a sequence of cycles separated by ``/``,
where each cycle is a sequence of positive integers separated by ``,``. For
example, the command:
symdata.py 1,2/3,4 3,4,5
displays the data for the group generated by ``(1 2)(3 4)`` and ``(3 4
5)``."""
import sys
sys.path.insert(1, sys.path[0] + '/..')
from groups import Symmetric
from groups.about import about, printAbout
from permutation import Permutation
if len(sys.argv) < 2:
sys.stderr.write("Usage: %s permutation ...\n" % (sys.argv[0],))
sys.exit(2)
perms = [Permutation.fromCycles(map(int, b.split(',')) for b in a.split('/'))
for a in sys.argv[1:]]
perms.sort()
data = about(Symmetric(perms[-1].degree).generate(perms))
data["name"] = '⟨' + ', '.join(map(str, perms)) + '⟩'
printAbout(data)
print
# -*- coding: utf-8 -*-
"""This program displays the group data (as calculated by ``groups.about``) for
a group generated from a list of permutations specified on the command line.
Each permutation must be written as a sequence of cycles separated by ``/``,
where each cycle is a sequence of positive integers separated by ``,``. For
example, the command:
symdata.py 1,2/3,4 3,4,5
displays the data for the group generated by ``(1 2)(3 4)`` and ``(3 4
5)``."""
import sys
sys.path.insert(1, sys.path[0] + '/..')
from groups import Symmetric
from groups.about import about, printAbout
from permutation import Permutation
if len(sys.argv) < 2:
sys.stderr.write("Usage: %s permutation ...\n" % (sys.argv[0], ))
sys.exit(2)
perms = [
Permutation.fromCycles(map(int, b.split(',')) for b in a.split('/'))
for a in sys.argv[1:]
]
perms.sort()
data = about(Symmetric(perms[-1].degree).generate(perms))
data["name"] = '⟨' + ', '.join(map(str, perms)) + '⟩'
printAbout(data)
print
#!/usr/bin/python import sys sys.path.insert(1, sys.path[0] + '/..') import groups from groups.about import printAbout z4 = groups.Cyclic(4) g1 = groups.Semidirect(z4, z4, lambda y: lambda x: z4.invert(x) if y % 2 else x) gn = groups.Quotient(g1, g1.generate([(2,2)])) # isomorphic to Q_8 printAbout(gn) print
