A note on locally soluble almost subnormal subgroups in divsion rings

Document Type: Research Paper

Author

Dong Nai University, Vietnam

Abstract

Let D be a division ring with center F and assume that N is a locally soluble almost subnormal subgroup of the multiplicative group D* of D. We prove that if N is algebraic over F, then N is central. This answers partially [11, Conjecture 1].

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