CubeRoots
Member
Hello,
I was wondering if anybody knows of a presentation of the cube group documented somewhere?
For those of you that don't know, a presentation of a group G is a way of describing the group as follows:
G=<A|R> reads the group generated by elements of A, which satisfy the set of relations R. G is the freest group satisfying these relations.
In the case of the cube group this would look something like G=<R, U, L, D, F | R[SUP]4[/SUP]=1, ...> or perhaps <L2 B R D' L', U F R U R' U' F' | R4=1, ... >
It's this list of relations which defines the cube group that I want.
I was wondering if anybody knows of a presentation of the cube group documented somewhere?
For those of you that don't know, a presentation of a group G is a way of describing the group as follows:
G=<A|R> reads the group generated by elements of A, which satisfy the set of relations R. G is the freest group satisfying these relations.
In the case of the cube group this would look something like G=<R, U, L, D, F | R[SUP]4[/SUP]=1, ...> or perhaps <L2 B R D' L', U F R U R' U' F' | R4=1, ... >
It's this list of relations which defines the cube group that I want.
Last edited: