Finitary groups and Krull dimension over the integers

• Date: 2006
• Main Authors: Wehrfritz, B. A. F., Веґрфріц, Б. А. Ф.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3534
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $M$ be any Abelian group. We make a detailed study for reasons explained in the Introduction of the normal subgroup $$F_\infty Aut M = \{ g \in Aut M: M(g - 1) is\;a \;minimax\; group\}$$ of the automorphism group $Aut M$ of $M$. The conclusions, although slightly weaker than one would hope, in...