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

Goncalves, Daciberg Lima; Guaschi, John

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Goncalves, Daciberg Lima ^[1] ; Guaschi, John ^[2] Total Authors: 2
Affiliation:	^[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 Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Group Theory; v. 13, n. 2, p. 277-294, MAR 2010.
Web of Science Citations:	5
Abstract
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)

FAPESP's process:	04/10229-6 - Algebraic, geometric and differential topology
Grantee:	Daciberg Lima Gonçalves
Support Opportunities:	Research Projects - Thematic Grants

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