Still another approach to the braid ordering
Copyright policy )Still another approach to the braid ordering
We develop a new approach to the linear ordering of the braid group $B\_n$, based on investigating its restriction to the set $\Div(��\_n^d)$ of all divisors of $��\_n^d$ in the monoid $B\_\infty^+$, i.e., to positive $n$-braids whose normal form has length at most $d$. In the general case, we compute several numerical parameters attached with the finite orders $(\Div(��\_n^d),
normal form theorems, Free semigroups, generators and relations, word problems, well-ordering, Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Group Theory (math.GR), Braid groups; Artin groups, orderable groups, fundamental braids, 20F36, 05A05, 20F60, FOS: Mathematics, Ordered groups (group-theoretic aspects), Knots and links in the \(3\)-sphere, braid groups, Mathematics - Group Theory
normal form theorems, Free semigroups, generators and relations, word problems, well-ordering, Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Group Theory (math.GR), Braid groups; Artin groups, orderable groups, fundamental braids, 20F36, 05A05, 20F60, FOS: Mathematics, Ordered groups (group-theoretic aspects), Knots and links in the \(3\)-sphere, braid groups, Mathematics - Group Theory
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