A note about splittings of groups and commensurability under a cohomological point of view

• Date: 2018
• Main Authors: Andrade, Maria Gorete Carreira, Fanti, Ermınia de Lourdes Campelloi
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Splittings of groups; cohomology of groups; commen-surability; 20J05; 20J06; 20E06
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/627
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a group, let \(S\) be a subgroup with infinite index in \(G\) and let \(\mathcal{F}_SG\) be a certain \(\mathbb{Z}_2G\)-module. In this paper, using the cohomological invariant \(E(G, S, \mathcal{F}_SG)\) or simply \(\tilde{E}(G,S)\) (defined in [2]), we analyze some results about split...