| Full text | |
| Author(s): |
Total Authors: 2
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| 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
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 28, n. 3, p. 365-380, MAY 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
Let G be the fundamental group of a sapphire that admits the Sol geometry and is not a torus bundle. We determine a finite free resolution of Z over ZG and calculate a partial diagonal approximation for this resolution. We also compute the cohomology rings H{*} (G; A) for A = Z and A = Z(p) for an odd prime p, and indicate how to compute the groups H{*} (G; A) and the multiplicative structure given by the cup product for any system of coefficients A. (AU) | |
| FAPESP's process: | 13/21394-7 - Diagonal maps and cohomology rings of sol manifolds and virtually cyclic groups |
| Grantee: | Sérgio Tadao Martins |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| 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 |