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• groups with 16 elements

• 
  Winfried Weber    Group moderator

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  groups with 16 elements

  Hello together,
  the question is simple, but the answer ...
  
  How many different (that means not-isomorphic) types of finties groups with exactly 16 elements are exisiting?
  
  The abelian groups (a*b = b*a) are very easy to find (there are 5 types), but the non-abelian?
  How do they look like ? Description with generators and relations-matrix)?
  
  
  Thanks for thinking about,
  Winfried
  
  • 08 Feb 2007, 1:42 pm
  Winfried Weber wrote: > Hello together, > the question is simple, but the answer ... > > How many different (that means not-isomorphic) types of finties > groups with exactly 16 elements are exisiting? > > The abelian groups (a*b = b*a) are very easy to find (there are 5 > types), but the non-abelian? > How do they look like ? Description with generators and > relations-matrix)? > > > Thanks for thinking about, > Winfried
• 
  Aymeric Basille    Premium Member

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  Re: groups with 16 elements

  i am not an expert, but i would advice
  
  http://en.wikipedia.org/wiki/Quasidihedral_group for non Abelian Group.
  
  more about Abelian's group also in WIKI:
  
  http://en.wikipedia.org/wiki/Abelian_group (especially for 16 Element)
  
  Regards from Frankfurt to Tunis
  
  Aymeric
  
  • 08 Feb 2007, 3:05 pm
  Aymeric Basille wrote: > i am not an expert, but i would advice > > http://en.wikipedia.org/wiki/Quasidihedral_group for non Abelian > Group. > > more about Abelian's group also in WIKI: > > http://en.wikipedia.org/wiki/Abelian_group (especially for 16 Element) > > Regards from Frankfurt to Tunis > > Aymeric
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