def small_group_data(gapid):
parts = gapid.split('.')
n = int(parts[0])
k = int(parts[1])
group = db.gps_small.lookup(str(gapid))
inf = "Group $%s$" % str(group['pretty'])
inf += " — "
inf += ('' if group['cyclic'] else 'not')+' cyclic, '
inf += ('' if group['abelian'] else 'non-')+'abelian, '
inf += ('' if group['solvable'] else 'not')+' solvable'
inf += '<p>Order: '+str(n)
inf += '<br>GAP small group number: '+str(k)
inf += '<br>Exponent: '+str(group['exponent'])
inf += '<br>Perfect: '+str(group['perfect'])
inf += '<br>Simple: '+str(group['simple'])
inf += '<br>Normal subgroups: '+display_multiset(group['normal_subgroups'],small_group_label_display_knowl)
inf += '<br>Maximal subgroups: '+display_multiset(group['maximal_subgroups'], small_group_label_display_knowl)
inf += '<br>Center: '+small_group_label_display_knowl(str(group['center']))
inf += '<br>Derived subgroup: '+small_group_label_display_knowl(str(group['derived_group']))
inf += '<br>Abelianization: '+small_group_label_display_knowl(str(group['abelian_quotient']))
inf += '<br>Conjugacy class information: <table style="text-align: center;"><tr><th>Element Order<th>Size<th>Multiplicity'
for row in group['clases']:
inf += '<tr><td>%d<td>%d<td>%d'%(row[0],row[1],row[2])
inf += '</table></p>'
return inf
def test_display_multiset(self):
r"""
Checking utility: display_multiset
"""
self.assertEqual(display_multiset([["a", 3], [12, 2]]), 'a x3, 12 x2')
self.assertEqual(display_multiset([[1, 4], [0, 0], ["cat", 2]]),
'1 x4, 0, cat x2')
def test_display_multiset(self):
r"""
Checking utility: display_multiset
"""
self.assertEqual(display_multiset([["a", 3], [12, 2]]), 'a x3, 12 x2')
self.assertEqual(display_multiset([[1, 4], [0, 0], ["cat", 2]]),
'1 x4, 0, cat x2')
def format_subfields(subdata, p):
if subdata == []:
return ''
return display_multiset(subdata, format_lfield, p)
def subfields_show(self):
subs = self.subfields()
if subs == []:
return []
return display_multiset(subs, formatfield)
def subfields_show(self):
subs = self.subfields()
if subs == []:
return []
return display_multiset(subs, formatfield)
def format_subfields(subdata, p):
if subdata == []:
return ''
return display_multiset(subdata, format_lfield, p)
