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arXiv · 1709.04774

Almost subnormal subgroups in division rings with generalized algebraic rational identities

Bui Xuan Hai·Truong Huu Dung·Mai Hoang Bien
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Abstract

In this paper we study non-central almost subnormal subgroups of the multiplicative group of a division ring satisfying a non-zero generalized rational identity. The main result generalizes Chiba's theorem on subnormal subgroups. As an application, we get a theorem on almost subnormal subgroups satisfying a generalized algebraic rational identity. The last theorem has several corollaries which generalize completely or partially some previous results.

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Bui Xuan Hai, Truong Huu Dung, Mai Hoang Bien. 2017-09-13. Almost subnormal subgroups in division rings with generalized algebraic rational identities. https://arxiv.org/abs/1709.04774

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