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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 …
P.H.'s user avatar
  • 141
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_ …
P.H.'s user avatar
  • 141
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 …
P.H.'s user avatar
  • 141