Difference between revisions of "ApCoCoA-1:GroupsToCheck"

From ApCoCoAWiki
Line 37: Line 37:
 
   upload pictures to the server, but I contacted Stefan, there will be a solution soon.
 
   upload pictures to the server, but I contacted Stefan, there will be a solution soon.
 
Higman Group
 
Higman Group
 +
  Checked: No
 +
  Notes: --
 +
Ordinary Tetrahedron Groups
 
   Checked: No
 
   Checked: No
 
   Notes: --
 
   Notes: --

Revision as of 13:19, 19 August 2013

Inserted Groups

Baumslag-Gersten Group

 Checked: No
 Notes: --

Braid Group

 Checked: No
 Notes:  --

Cyclic Group

 Checked: No
 Notes:  --

Dicyclic Group

 Checked: No
 Notes:  I added two different implementations, one with explicit invers elements and one without. I think the
 second one is the right one. The computation of the first implementation results in a GB with size 2812, the
 second one with size 901.

Dihedral Group

 Checked: No
 Notes: It follows, that a^{-1} = a^{2n-1} and that b^{4} = 1 (second equation) --> b^{-1} = b^{3}
 My question is, do I have to implement the last equation with b^{3} instead of b^{-1} or should
 I use 4 generators (a invers to c, b invers to d)?

von Dyck Group

 Checked: No
 Notes: A useful reference is still missing

Free abelian Group

 Checked: No
 Notes: --

Free Group

 Checked: No
 Notes: --

Fibonacci Group

 Checked: No
 Notes: --

Heisenberg Group

 Checked: No
 Notes: The matrix in the description will be added as a picture, then it will look much better. At the moment we cannot
 upload pictures to the server, but I contacted Stefan, there will be a solution soon.

Higman Group

 Checked: No
 Notes: --

Ordinary Tetrahedron Groups

 Checked: No
 Notes: --