Mon 3/27/00

 (1) Review old business:

     "normal" subgroup   
         example
         counterexample
     "simple" group
         example
         counterexample

     projects:  see "overview of groups" on our site


 (2) New business:

    (a)
     "semi-direct" ( S3 = C3 x| C2 ) is invserve of factoring; S3/C3=C
      vs "direct product" (C6 = C3 X C2 )
     
    (b) 
     "Aut(G) = group of isomorphisms of a group G onto itself"

     examples:  
      

 (3) In Class exercise:

      What is the factor decomposition of the solid cube group ?

      Is the factor decomposition unique?

     Question: 

        Are there any non-abelian simple groups?  If so, name one.