#5491: sylow_subgroup gives syntax error
------------------------+---------------------------------------------------
 Reporter:  dangrayson  |       Owner:  tbd              
     Type:  defect      |      Status:  new              
 Priority:  major       |   Milestone:  sage-3.4.2       
Component:  algebra     |    Keywords:  sylow_subgoup PSL
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Comment(by wdj):

 Yep, this is bizrre:

 {{{
 sage: PSL(4,2).sylow_subgroup(7)
 Permutation Group with generators [(2,10,12,15,4,9,7)(3,11,13,14,5,8,6)]
 sage: PSL(5,2).sylow_subgroup(7)
 Permutation Group with generators
 
[(4,30,10,13,16,25,23)(5,31,11,12,17,24,22)(6,28,8,15,18,27,21)(7,29,9,14,19,26,20)]
 sage: PSL(6,2).sylow_subgroup(7)
 Permutation Group with generators
 
[(1,13,56,21,44,52,32)(3,15,58,23,46,54,34)(4,8,61,16,41,49,37)(6,10,63,18,43,51,39)(9,48,40,60,29,17,36)(11,50,42,62,31,19,38)(12,53,45,57,24,20,33)(14,55,47,59,26,22,35),
 
(1,29,26,4,31,6,3)(2,28,7,30,27,25,5)(8,19,10,15,13,17,22)(9,14,16,11,18,23,21)(32,60,59,37,62,39,34)(35,61,38,63,58,56,36)(40,47,49,42,51,54,52)(41,50,43,46,44,48,55)]
 sage: PSL(7,2).sylow_subgroup(7)
 Permutation Group with generators
 
[(2,5,53,110,50,94,105)(3,4,52,111,51,95,104)(6,49,90,93,109,54,106)(7,48,91,92,108,55,107)(8,63,84,83,99,56,100)(9,62,85,82,98,57,101)(10,58,97,61,81,102,13)(11,59,96,60,80,103,12)(16,23,39,124,32,76,123)(17,22,38,125,33,77,122)(20,35,72,79,127,36,120)(21,34,73,78,126,37,121)(24,40,115,47,67,116,31)(25,41,114,46,66,117,30)(26,45,70,65,113,42,118)(27,44,71,64,112,43,119),
 
(2,9,114,65,34,61,38)(3,8,115,64,35,60,39)(4,63,47,112,72,80,124)(5,62,46,113,73,81,125)(6,54,93,49,106,109,90)(7,55,92,48,107,108,91)(10,122,50,98,30,26,37)(11,123,51,99,31,27,36)(12,76,111,83,116,119,127)(13,77,110,82,117,118,126)(14,69,29,18,86,74,89)(15,68,28,19,87,75,88)(16,95,56,24,44,120,59)(17,94,57,25,45,121,58)(20,96,23,104,100,40,71)(21,97,22,105,101,41,70)(32,52,84,67,43,79,103)(33,53,85,66,42,78,102)]
 sage: PSL(8,2).sylow_subgroup(7)
 ------------------------------------------------------------
    File "<string>", line 1
 
[(8,41,52,61,21,32,28,),(9,40,53,60,20,33,29,),(10,43,54,63,23,34,30,),(11,42,55,62,22,35,31,),(12,45,48,57,17,36,24,),(13,44,49,56,16,37,25,),(14,47,50,59,19,38,26,),(15,46,51,58,18,39,27,),(72,105,116,125,85,96,92,),(73,104,117,124,84,97,93,),(74,107,118,127,87,98,94,),(75,106,119,126,86,99,95,),(76,109,112,121,81,100,88,),(77,108,113,120,80,101,89,),(78,111,114,123,83,102,90,),(79,110,115,122,82,103,91,),(128,137,161,148,168,188,157,),(129,136,160,149,169,189,156,),(130,139,163,150,170,190,159,),(131,138,162,151,171,191,158,),(132,141,165,144,172,184,153,),(133,140,164,145,173,185,152,),(134,143,167,146,174,186,155,),(135,142,166,147,175,187,154,),(192,201,225,212,232,252,221,),(193,200,224,213,233,253,220,),(194,203,227,214,234,254,223,),(195,202,226,215,235,255,222,),(196,205,229,208,236,248,217,),([...],)]
 ^
 SyntaxError: invalid syntax

 sage:
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5491#comment:2>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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