Canan Özeren, Dokuz Eylül University.
Date: 12th of April, 2023, Wednesday,
Time: 10:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings).
Abstract:Torsion-free covers exist for abelian groups (see [1]). The coGalois group of a torsion-free cover
of an abelian group is defined in [2] as the group of
s.t.
and is denoted by
. The abelian groups for which the coGalois group is trivial were characterized in [3]. The notion of coGalois group can be defined in any category where we have a covering class. In [4], coGalois groups have been studied in the category of representations of the quiver
. We talk about the necessary and sufficient conditions for coGalois group, associated to a torsion free-cover of an object in
to be trivial.
References
[1] E. Enochs: Torsion-free covering modules. (1963)
[2] E. Enochs, J. R. García Rozas and L. Oyonarte: Compact coGalois groups. (2000).
[3] E. Enochs and J. Rada: Abelian groups which have trivial absolute coGalois group. (2005).
[4] Paul Hill, Abelian group pairs having a trivial coGalois Group. (2006). [5] Molly Dukun, Phd Thesis
[5] Molly Dukun, Phd Thesis