Dehornoy’s ordering of the braid groups extends the subword ordering
نویسندگان
چکیده
منابع مشابه
Dehornoy’s Ordering of the Braid Groups Extends the Subword Ordering
Since the ordering is right-invariant this is equivalent to the following, with γ = β1α: Theorem 1′. For any braid γ ∈ Bn and any i ∈ {1, . . . , n − 1} we have γσi > γ. It follows that Dehornoy’s ordering extends the (partial) subword ordering defined in [5]. Theorem 1 was first proved by Laver [8] and Burckel [2] using very different methods. As explained in [8], it can be combined with a the...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1999
ISSN: 0030-8730
DOI: 10.2140/pjm.1999.191.183