Group Theory Seminar

Computing differentials in spectral sequences

Speaker:  Lander Guerrero Sánchez (Universidad del País Vasco)
Date:  Tuesday, 16 May 2023 - 11:30
Place:  Aula Naranja, ICMAT


One of the most powerful tools for computing the cohomology of a group is the Lyndon-Hochschild-Serre spectral sequence, which allows us to compute the cohomology of a group in terms of the cohomologies of its normal subgroups and quotients. The main difficulty in using spectral sequences lies in the fact that there are no general methods for computing the differentals that appear. In this talk, we will introduce a generalization of a result by Siegel that can be used to compute the differentials appearing in the spectral sequence associated to a split extension of finite groups with cyclic quotient. This is based on joint work with O. Garaialde Ocaña.