Could someone possibly tell me what I am doing wrong here? This is my
first time using GAP and I can't see why this doesn't work.
Why does it hit this error?
Thank you in advance for any help given. You can e-mail to me at kaskel@math.berkeley.edu --------------------------------------------------------------------------- gap> s4:=SymmetricGroup4 (4); Group( (1,4), (2,4), (3,4) ) gap> cc:=ConjugacyClassesSubgroups(s4); [ ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (3,4) ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (2,3,4) ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (1,2)(3,4) ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (3,4), (1,2) ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (2,3,4), (3,4) ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (1,2)(3,4), (1,3)(2,4) ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (1,2)(3,4), (1,3,2,4) ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (3,4), (1,2)(3,4), (1,3)(2,4) ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (1,2)(3,4), (1,3)(2,4), (2,3,4) ] ) ), ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Group( (1,4), (2,4), (3,4) ) ) ] gap> cc2:=cc[2]; ConjugacyClassSubgroups( Group( (1,4), (2,4), (3,4) ), Subgroup( Group( (1,4), (2,4), (3,4) ), [ (3,4) ] ) ) gap> r:=Representative(cc2); Subgroup( Group( (1,4), (2,4), (3,4) ), [ (3,4) ] ) gap> g:=Group(r); Group( (3,4) ) gap> 2syl:=SylowSubgroup(g,2); Error, Record: element 'orbit' must have an assigned value at while Length( G.orbit ) mod p <> 0 ... in G.operations.SylowSubgroup( G, p ) called from SylowSubgroup( g, 2 ) called from main loop brk> ---------------------------------------------------------------------------