The cohomology ring of certain families of periodic virtually cyclic groups

Author(s)

Goncalves, Daciberg Lima ^[1] ; Martins, Sergio Tadao ^[2] ; Soares, Marcio De Jesus ^[3]

Affiliation

^[1] Univ Sao Paulo, Dept Math, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

^[2] Univ Fed Santa Catarina, Dept Math, Campus Univ Trindade, BR-88040900 Florianopolis, SC - Brazil

^[3] Univ Fed Santa Catarina, Dept Exact Sci & Educ, Campus Blumenau, BR-89065300 Blumenau, SC - Brazil

• Document type: Journal article
• Source: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 27, n. 7, p. 793-818, NOV 2017.
• Web of Science Citations: 0

Abstract

Let G be a virtually cyclic of the form (Z(a) proportional to Z(b)) proportional to Z or {[}Z(a) proportional to (Z(b) x Q(2i))] proportional to Z. We compute the integral cohomology ring of G , and then obtain the periodicity of the Farrell cohomology of these groups. (AU)

• FAPESP's process: 12/24454-8 - Algebraic, geometric and differential topology
• Grantee: Daciberg Lima Gonçalves
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 13/07510-4 - Resolutions and the group cohomology of the sapphire manifolds and of the virtually cyclic groups
• Grantee: Sérgio Tadao Martins
• Support Opportunities: Scholarships in Brazil - Post-Doctoral