On division subrings normalized by almost subnormal subgroups in\n division rings

2018/01/04 by Trinh Thanh Deo, Deo, Trinh Thanh, Mai Hoang Bien +3
Mathematics · #Rings, Modules, and Algebras #Advanced Topics in Algebra #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1801.01271

Abstract

Let D be a division ring with infinite center, K a proper division\nsubring of D and N an almost subnormal subgroup of the multiplicative group\nD^* of D. The aim of this paper is to show that if K is N-invariant and\nN is non-central, then K is central. Some examples of almost subnormal\nsubgroups in division rings that are not subnormal are also given.\n

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