Hey there! 

I recently made a PR regarding the implementation of the 
minimum_generating_set function in polynomial time,#37481 
<https://github.com/sagemath/sage/pull/37481>. However, in this PR, one of 
my build tests is failing and giving a error. I'm bit confused about how to 
solve this because I have never seen this kind of error before. Can 
somebody help me with this?

********************************************************************** 
18 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:19>File
 
"src/sage/groups/group.pyx", line 275, in 
sage.groups.group.Group.minimum_generating_set 
19 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:20>Failed
 
example: 
20 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:21>
 
sage: G = PermutationGroup([(1,2,3), (2,3), (4,5)]) 
21 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:22>Exception
 
raised: 
22 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:23>
 
Traceback (most recent call last): 
23 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:24>
 
File "/sage/src/sage/doctest/forker.py", line 712, in _run 
24 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:25>
 
self.compile_and_execute(example, compiler, test.globs) 
25 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:26>
 
File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute 
26 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:27>
 
exec(compiled, globs) 
27 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:28>
 
File "<doctest sage.groups.group.Group.minimum_generating_set[0]>", line 1, 
in <module> 
28 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:29>
 
sage: G = PermutationGroup([(Integer(1),Integer(2),Integer(3)), 
(Integer(2),Integer(3)), (Integer(4),Integer(5))]) 
29 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:30>
 
^ 
30 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:31>
 
NameError: name 'G' is not defined 
31 
<https://github.com/sagemath/sage/actions/runs/8060986850/job/22021110164?pr=37481#step:14:32>
**********************************************************************

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