On groups whose subnormal abelian subgroups are normal

2021/12/06 by Leonid A. Kurdachenko, Kurdachenko, Leonid A., Javier Otal +3
Chemistry · Mathematics · #17B05 #2010: 20E15 #20E07 #20E34 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Synthesis and Reactivity of Sulfur-Containing Compounds

paper · pdf · doi:10.48550/arxiv.2112.03049

openalex publication_date 2021/12/06 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical. The description of hyperabelian Lie algebras, whose abelian subideals are ideals, is also obtained.

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