Almost subnormal subgroups in division rings with generalized algebraic rational identities
Rings and Algebras
2017-09-15 v1
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.
Keywords
Cite
@article{arxiv.1709.04774,
title = {Almost subnormal subgroups in division rings with generalized algebraic rational identities},
author = {Bui Xuan Hai and Truong Huu Dung and Mai Hoang Bien},
journal= {arXiv preprint arXiv:1709.04774},
year = {2017}
}
Comments
10 pages. arXiv admin note: text overlap with arXiv:1510.08720