def gap_gen_to_string(g):
seen = set()
s = ""
f = StringIO.StringIO()
for i in xrange(gap.SmallestMovedPointPerm(g),
gap.LargestMovedPointPerm(g) + 1):
i = gap(i)
if int(i) in seen:
continue
a = i
seen.add(int(a)) # need to convert to an int instead of a gap int
cycle = [a]
while i != a**g:
a = a**g
seen.add(int(a))
cycle.append(a)
if len(cycle) > 1:
f.write("(%s)" % ' '.join([str(a) for a in cycle]))
return f.getvalue()
def gapgroupnt(self):
if int(self.n()) == 1:
G = gap.SmallGroup(1, 1)
else:
G = gap('Group([' + self.generator_string() + '])')
return G