Aproximações da diagonal e anéis de cohomologia dos grupos fundamentais das superfícies, de fibrados do toro e de certos grupos virtualmente cíclicos

Abstract

MARTINS, S. T. Diagonal approximations and cohomology rings for the fundamental groups of surfaces, torus bundles and some virtually cyclic groups. 2012. Tese

The -Cohomology Rings of -Manifolds

“…Martins has constructed an explicit free resolution P * → Z of the augmentation Z[π]-module, and a diagonal approximation ∆ : P * → P * ⊗ P * , which he used to compute the integral and mod-p cohomology rings for semidirect products π Z 2 Θ Z with Θ ∈ GL(2, Z) [6].…”

“…I would like to thank the organisers of the XVIII Encontro Brasiliero de Topologia for the invitation to their meeting in Aguas de Lindoias, in July 2012, which led to this work, and S. T. Martins for sending me a copy of his PhD thesis [6]. The use of the extraspecial 2-group E (introduced before Lemma 2.4) was prompted by the work of Carlson on the cohomology rings of 2-groups [2].…”