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Type: Article
Braid groups of the projective plane, mapping class groups of non-orientable surfaces, and algebraic K-theory of their group rings
Abstract:
We describe the lower algebraic K-theory of the integral group ring of both the pure and full braid groups of the real projective plane with 3 strings, as well as that of the integral group ring of the mapping class group of with 3 marked points. In addition, we give a general formula for the algebraic K-theory groups of the group ring of the mapping class group of non-orientable surfaces with k marked points, where .
We describe the lower algebraic K-theory of the integral group ring of both the pure and full braid groups of the real projective plane with 3 strings, as well as that of the integral group ring of the mapping class group of with 3 marked points. In addition, we give a general formula for the algebraic K-theory groups of the group ring of the mapping class group of non-orientable surfaces with k marked points, where .
Journal: Boletín de la Sociedad Matemática Mexicana
ISSN: 2296-4495
Year: 2026
Volume: 32
Number: 2026
Pages: 56
Revision: 1
Notas: Scimago: Q2 Springer (México) EISSN: 2296-4495 CC BY 4.0
Ambos autores recibieron apoyo parcial del Laboratorio Internacional Franco-Mexicano Solomon Lefschetz «LaSol» y de la beca IN100122-PAPIIT-UNAM. El primer autor recibió apoyo parcial de una beca del CIC-UNAM, y el segundo autor recibió apoyo parcial de una beca «Poste Rouge» del CNRS (Francia), una beca sabática de la DGAPA-UNAM y la beca CBF-2025-I 406 del CECIHTI.
Created: 2026-04-21 13:29:37
Modified: 2026-04-21 14:41:39
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