416 citations
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5 papers · 1 filter
Crystallographic groups and flat manifolds from surface braid groups
Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo +1
Let be a compact surface without boundary, and . We analyse the quotient group of the surface braid group by the commutator subgroup $Γ…
Varieties of Boolean inverse semigroups
Friedrich Wehrung
In an earlier work, the author observed that Boolean inverse semi-groups, with semigroup homomorphisms preserving finite orthogonal joins, form a congruence-permutable variety of a…
Garside and quadratic normalisation: a survey
Patrick Dehornoy
Starting from the seminal example of the greedy normal norm in braid monoids, we analyse the mechanism of the normal form in a Garside monoid and explain how it extends to the more…
Quotients of the Artin braid groups and crystallographic groups
Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo
Let n be greater than or equal to 3. We study the quotient group B\_n/[P n,P\_n] of the Artin braid group B\_n by the commutator subgroup of its pure Artin braid group P\_n. We sho…
Combinatorial properties of virtual braids
Valerij G. Bardakov, Paolo Bellingeri
We study combinatorial properties of virtual braid groups and we describe relations with finite type invariant theory for virtual knots and Yang-Baxter equations