Locally solvable subnormal and quasinormal subgroups in division rings-Reference-Cited by-同舟云学术

Locally solvable subnormal and quasinormal subgroups in division rings

Published:2021-11-01 Issue:3 Volume:51 Page:
ISSN:0018-2079
Container-title:Hiroshima Mathematical Journal
language:
Short-container-title:Hiroshima Math. J.

Author:

Qui Danh Le¹,Viet Khanh Huynh²

Affiliation:

1. Faculty of Mathematics and Computer Science University of Science Ho Chi Minh City, Vietnam; Vietnam National University Ho Chi Minh City, Vietnam; Department of Mathematics Mechanics, and Informatics University of Architecture Ho Chi Minh City 196 P

2. Faculty of Mathematics and Computer Science University of Science Ho Chi Minh City, Vietnam; Vietnam National University Ho Chi Minh City, Vietnam

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference17 articles.

1. [1] L. Q. Danh, M. H. Bien and B. X. Hai, Permutable subgroups in $\mathrm{GL}_n(D)$ and applications to locally finite group algebras, arXiv:1912.09887 [math.RA]; to appear in Vietnam Journal of Mathematics.

2. [2] C. Faith, Algebraic division ring extensions, Proc. Amer. Math. Soc., 11 (1960), 43–53.

3. [3] F. Gross, Subnormal, core-free, quasinormal subgroups are solvable, Bull. London Math. Soc., 7 (1975), 93–95.

4. [4] B. X. Hai and D. V. P. Ha, On locally soluble maximal subgroups of the multiplicative group of a division ring, Vietnam J. Math., 38 (2010), 237–247.

5. [5] B. X. Hai and N. V. Thin, On locally nilpotent subgroups of $GL_1(D)$, Comm. Algebra, 37 (2009), 712–718.

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