Some properties of E(G,W,F_TG) and an application in the theory of splittings of groups

• Date: 2021
• Main Authors: Fanti, E. L. C., Silva, L. S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: cohomology of groups; cohomological invariants; splittings and derivation of groups; 20E06; 20J06; 57M07
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1246
• Journal Title: Algebra and Discrete Mathematics

Let us consider \(W\) a \(G\)-set and \(M\) a \(\mathbb{Z}_2G\)-module, where \(G\) is a group. In this paper we investigate some properties of the cohomological the theory of splittings of groups. Namely, we  give a proof of the invariant \(E(G,W,M)\), defined in [5] and present related results wit...