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>
---------------------------------------------------------------------------