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Questions about the branch of algebra that deals with groups.
3
votes
2
answers
1k
views
Coxeter group generators
Is there a "canonical" set of generators for a given coxeter group?
If so, is there a method for going from an arbitrary set of generators of the group to the canonical?
(The "textbook" definition do …
2
votes
0
answers
244
views
Group of local complementation as a coxeter group
Can the group generated by local complementations, ${lc_i|i=1,\cdots,n}$ on simple graphs on $n$ vertices, be categorized as a coxeter group? After all these obey:
\begin{equation}
\langle lc_i| (lc_ …
7
votes
1
answer
585
views
Local complementation group of simple graphs
This is my first time posting a question, so please excuse me for any incomplete or confusing descriptions.
Let's assume we start with one simple graph(no multi-edges and no loops of a vertex to its …