Changed generators in manual examples

Author: hulpke

doc/tut/group.xml

@@ -833,9 +833,9 @@ usual way we now look for the subgroups above <C>u105</C>.
 gap> blocks := Blocks( a8, orb );; Length( blocks );
 15
 gap> blocks[1];
-[ (1,2)(3,4)(5,6)(7,8), (1,3)(2,4)(5,8)(6,7), (1,4)(2,3)(5,7)(6,8), 
-  (1,5)(2,6)(3,8)(4,7), (1,6)(2,5)(3,7)(4,8), (1,7)(2,8)(3,6)(4,5), 
-  (1,8)(2,7)(3,5)(4,6) ]
+[ (1,2)(3,4)(5,6)(7,8), (1,3)(2,4)(5,7)(6,8), (1,4)(2,3)(5,8)(6,7),
+  (1,5)(2,6)(3,7)(4,8), (1,6)(2,5)(3,8)(4,7), (1,7)(2,8)(3,5)(4,6),
+  (1,8)(2,7)(3,6)(4,5) ]
 ]]></Example>
 <P/>
 To find the subgroup of index 15 we  again use closure. Now  we must be a
@@ -1175,8 +1175,8 @@ gap> aut := AutomorphismGroup( p );; NiceMonomorphism(aut);;
 gap> niceaut := NiceObject( aut );
 Group([ (1,4,2,3), (1,5,4)(2,6,3), (1,2)(3,4), (3,4)(5,6) ])
 gap> IsomorphismGroups( niceaut, SymmetricGroup( 4 ) );
-[ (1,4,2,3), (1,5,4)(2,6,3), (1,2)(3,4), (3,4)(5,6) ] -> 
-[ (1,4,3,2), (1,4,2), (1,3)(2,4), (1,4)(2,3) ]
+[ (1,4,2,3), (1,5,4)(2,6,3), (1,2)(3,4), (3,4)(5,6) ] ->
+[ (1,4,2,3), (1,2,3), (1,2)(3,4), (1,3)(2,4) ]
 ]]></Example>
 <P/>
 The range of  a nice monomorphism is  in most cases a permutation  group,

lib/ctbl.gd

@@ -4380,11 +4380,11 @@ DeclareGlobalFunction( "NormalSubgroupClasses" );
 ##    Character( CharacterTable( S4 ), [ 3, 1, -1, 0, -1 ] ), 
 ##    Character( CharacterTable( S4 ), [ 1, 1, 1, 1, 1 ] ) ]
 ##  gap> kernel:= KernelOfCharacter( irr[3] );
-##  Group([ (1,2)(3,4), (1,3)(2,4) ])
+##  Group([ (1,2)(3,4), (1,4)(2,3) ])
 ##  gap> HasNormalSubgroupClassesInfo( tbl );
 ##  true
 ##  gap> NormalSubgroupClassesInfo( tbl );
-##  rec( nsg := [ Group([ (1,2)(3,4), (1,3)(2,4) ]) ], 
+##  rec( nsg := [ Group([ (1,2)(3,4), (1,4)(2,3) ]) ],
 ##    nsgclasses := [ [ 1, 3 ] ], nsgfactors := [  ] )
 ##  gap> ClassPositionsOfNormalSubgroup( tbl, kernel );
 ##  [ 1, 3 ]

lib/teaching.g

@@ -194,9 +194,9 @@ DeclareGlobalFunction("CosetDecomposition");
 ##  <A>H</A>-conjugacy.
 ##  <Example><![CDATA[
 ##  gap> AllHomomorphismClasses(SymmetricGroup(4),SymmetricGroup(3)); 
-##  [ [ (2,4,3), (1,2,3,4) ] -> [ (), () ], 
-##    [ (2,4,3), (1,2,3,4) ] -> [ (), (1,2) ], 
-##    [ (2,4,3), (1,2,3,4) ] -> [ (1,2,3), (1,2) ] ]
+##  [ [ (1,2,3), (2,4) ] -> [ (), () ],
+##    [ (1,2,3), (2,4) ] -> [ (), (1,2) ],
+##    [ (1,2,3), (2,4) ] -> [ (1,2,3), (1,2) ] ]
 ##  ]]></Example>
 ##  </Description>
 ##  </ManSection>