Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane

Autor(es)

Goncalves, Daciberg Lima ^[1] ; Guaschi, John ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, IME, Dept Matemat, BR-05314970 Sao Paulo - Brazil

^[2] Univ Caen, CNRS, Lab Math Nicolas Oresme, UMR 6139, F-14032 Caen - France

• Tipo de documento: Artigo Científico
• Fonte: Journal of Group Theory; v. 13, n. 2, p. 277-294, MAR 2010.
• Citações Web of Science: 5

Resumo

We classify the ( finite and infinite) virtually cyclic subgroups of the pure braid groups P(n)(RP(2)) of the projective plane. The maximal finite subgroups of P(n)(RP(2)) are isomorphic to the quaternion group of order 8 if n = 3, and to Z(4) if n >= 4. Further, for all n >= 3, the following groups are, up to isomorphism, the infinite virtually cyclic subgroups of P(n)(RP(2)): Z, Z(2) x Z and the amalgamated product Z(4){*}(Z2)Z(4). (AU)

• Processo FAPESP: 04/10229-6 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático