P erroneously thinks that GA(1,5) is less than A5. I have no idea what's
causing that either.
On Wednesday, January 11, 2023 at 11:21:39 AM UTC-7 Trevor Karn wrote:
> Thanks for the confirmation. I'll double check this is not a logic bug
> before I open a ticket.
>
> On Wednesday, January 11, 2023 at 1:20:09 PM UTC-5 Trevor Karn wrote:
>
>> At least part of the problem is that I gave bad generators for GA(1,5).
>> It should be [[(1,2,3,4,5)],[(2,3,5,4)]].
>>
>> On Wednesday, January 11, 2023 at 11:58:32 AM UTC-5 Trevor Karn wrote:
>>
>>> Hi all,
>>>
>>> I was wondering if anyone can reproduce this bug with Poset creation. I
>>> create a Poset by passing the elements and the comparison function as a
>>> tuple (elements, func) and a pair of elements for which func(x,y) returns
>>> True has P.lequal(x,y) returning False
>>>
>>> I'm trying to create the subgroup lattice up to conjugacy of S5.
>>>
>>> sage: load('s5-subgroup.sage') # builds poset, see below
>>> sage: groups[-2]
>>> Permutation Group with generators [(1,2,3), (1,2,3,4,5)]
>>> sage: groups[-1]
>>> Permutation Group with generators [(1,2), (1,2,3,4,5)]
>>> sage: compare(groups[-2], groups[-1])
>>> True
>>> sage: P.is_lequal('A5','S5')
>>> False
>>>
>>> The content of 's5-subgroup.sage' is below.
>>>
>>> gens = [
>>> [[]], # trivial
>>> [[(1,2)]], # S2
>>> [[(1,2),(3,4)]], #z/2
>>> [[(1,2)],[(3,4)]], # disjoint V4
>>> [[(1,2),(3,4)],[(1,3),(2,4)]], # double transp V4
>>> [[(1,2,3,4)]], # z/4
>>> [[(1,2,3,4)],[(1,3)]], # D8 (D4 in GAP notation)
>>> [[(1,2,3)]], # z/3
>>> [[(1,2,3)],[(4,5)]], # z/6
>>> [[(1,2,3)],[(1,2)]], # S3
>>> [[(1,2,3)],[(1,2),(4,5)]], # twisted S3
>>> [[(1,2,3)],[(1,2)],[(4,5)]], # S3 x S2
>>> [[(1,2),(3,4)],[(1,2,3)]], # A4
>>> [[(1,2,3,4)],[(1,2)]], # S4
>>> [[(1,2,3,4,5)]], # z/5
>>> [[(1,2,3,4,5)],[(2,5),(3,4)]], # D10
>>> [[(1,2,3,4,5)],[(2,3,4,5)]], # GA(1,5)
>>> [[(1,2,3,4,5)],[(1,2,3)]], # A5
>>> [[(1,2,3,4,5)],[(1,2)]] # S5
>>> ];
>>>
>>> strs = ['1', 'S2', 'Z/2', 'V4', 'V4 (dbl)', 'Z/4', 'D8',
>>> 'Z/3', 'Z/6', 'S3', 'S3 (twist)', 'S3xS2',
>>> 'A4', 'S4', 'Z/5', 'D10', 'GA(1,5)', 'A5',
>>> 'S5']
>>>
>>> to_group = lambda x: PermutationGroup(gens=x);
>>> groups = list(map(to_group, gens));
>>> compare = lambda x, y: x.is_subgroup(y);
>>> P = Poset(data=(groups, compare), element_labels=strs)
>>>
>>>
>>>
>>>
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