Difference between revisions of "ApCoCoA-1:GroupsToCheck"
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My question is, do I have to implement the last equation with b^{3} instead of b^{-1} or should | 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)? | 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: -- | ||
Revision as of 08:54, 16 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: --
