Hi,
Is there a limit on the size of permutations with the Gap interface? I
managed to get an error today which seems to be due to Gap putting
"(...)" at the end of a line. Here's the error:
<type 'exceptions.TypeError'>: Gap produced error output
Syntax error: expression expected in /home/carlo/.sage//temp/t40/13158//interf\
ace//tmp line 1
$sage3:=(1,2,8,30,43,13,3)(4,18,56,140,145,59,19)(5,23,69,162,167,72,24)(6,11,\
33,86,114,46,16)(7,12,34,87,115,47,17)(9,35,96,208,146,61,21)(10,38,103,220,16\
8,74,27)(14,22,58,141,252,124,48)(15,26,71,163,264,131,51)(20,62,150,284,288,1\
53,63)(25,75,172,306,310,175,76)(28,41,94,190,234,122,54)(29,42,95,191,235,123\
,55)(31,88,192,281,149,67,37)(32,91,199,303,171,81,40)(36,98,211,237,241,213,9\
9)(39,105,223,244,248,225,106)(44,50,68,144,277,236,116)(45,53,80,166,299,243,\
119)(49,126,255,197,193,258,127)(52,133,267,204,200,270,134)(57,142,278,232,28\
9,155,65)(60,66,152,285,185,282,147)(64,156,292,319,333,295,157)(70,164,300,23\
3,311,177,79)(73,78,174,307,188,304,169)(77,178,314,322,336,315,179)(82,110,20\
6,298,280,250,138)(83,111,207,276,302,251,139)(...);;
\
\
\
\
\
\
\
\
\
^
executing Read("/home/carlo/.sage//temp/t40/13158//interface//tmp");
Here's the code to reproduce it:
def p3Group(p):
assert is_prime(p)
F = gap.new("FreeGroup(3)")
a = F.gen(1)
b = F.gen(2)
c = F.gen(3)
rels = []
rels.append( a**Integer(p) )
rels.append( b**Integer(p) )
rels.append( c**Integer(p) )
rels.append( a*b*((b*a*c)**Integer(-1)) )
rels.append( c*a*((a*c)**Integer(-1)) )
rels.append( c*b*((b*c)**Integer(-1)) )
N = gap.NormalClosure(F, gap.Subgroup(F, rels))
niso = gap.NaturalHomomorphismByNormalSubgroupNC(F, N)
a = PermutationGroupElement(gap.Image(niso, a))
# This works:
p3Group(5)
# This blows up:
p3Group(7)
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