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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