def __init__(self,data,group=None):
"""
Builds a FreeGroupAutomorphism from data.
INPUT:
- ``data`` - the data used to build the morphism
- ``group`` - an optional free group
"""
if group is not None and not isinstance(group, FreeGroup):
raise ValueError, "the group must be a Free Group"
WordMorphism.__init__(self,data)
if group is None:
A = AlphabetWithInverses(self.domain().alphabet())
F = FreeGroup(A)
else:
F = group
A = group.alphabet()
self._domain = F
self._codomain = F # unuseful... consistency with WordMorphism
for letter in self._morph.keys():
self._morph[letter]=F.reduce(self._morph[letter])
self._morph[A.inverse_letter(letter)] = F.inverse_word(self._morph[letter])
def __init__(self, data, group=None):
"""
Builds a FreeGroupAutomorphism from data.
INPUT:
- ``data`` - the data used to build the morphism
- ``group`` - an optional free group
"""
if group is not None and not isinstance(group, FreeGroup):
raise ValueError, "the group must be a Free Group"
WordMorphism.__init__(self, data)
if group is None:
A = AlphabetWithInverses(self.domain().alphabet())
F = FreeGroup(A)
else:
F = group
A = group.alphabet()
self._domain = F
self._codomain = F # unuseful... consistency with WordMorphism
for letter in self._morph.keys():
self._morph[letter] = F.reduce(self._morph[letter])
self._morph[A.inverse_letter(letter)] = F.inverse_word(
self._morph[letter])
