On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3742-z
Abstract: In this paper, we consider the question of determinability of an Abelian group by its automorphism group in the class of completely decomposable torsion-free Abelian groups whose direct summands of rank 1 have idempotent types. read more here.
Keywords: abelian group; decomposable torsion; group; automorphism group ... See more keywords
The Bass–Jiang group for automorphism-induced HNN-extensions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.10.014
Abstract: Abstract We use the Bass–Jiang group for automorphism-induced HNN-extensions to build a framework for the construction of tractable groups with pathological outer automorphism groups. We apply this framework to a strong form of a question… read more here.
Keywords: bass jiang; group automorphism; jiang group; automorphism ... See more keywords