Abelian Squirrels

621 days ago by sdiehl

# S_n = Symmetric Group of N Squirrels SquirrelGroup = SymmetricGroup 
       
# How many squirrels? for n in range(1,10): print n, SquirrelGroup(n).is_abelian() 
        
1 True
2 True
3 False
4 False
5 False
6 False
7 False
8 False
9 False
1 True
2 True
3 False
4 False
5 False
6 False
7 False
8 False
9 False
phi = SquirrelGroupAlgebra(RR, 3) 
       
phi().canonical_coercion() 
        
Generic morphism:
  From: Squirrel group algebra of order 2 on Rational Field
  To:   Squirrel group algebra of order 4 on Rational Field
Generic morphism:
  From: Squirrel group algebra of order 2 on Rational Field
  To:   Squirrel group algebra of order 4 on Rational Field
phi().isomorphic(QQ) 
        
\newcommand{\Bold}[1]{\mathbf{#1}}{\rm True}
\newcommand{\Bold}[1]{\mathbf{#1}}{\rm True}