Maximal subgroups of \(\text{GL}_n(D)\) with finite conjugacy classes.

DOI10.1007/s00229-009-0290-3zbMath1184.20043OpenAlexW2042657864MaRDI QIDQ1034707

Dariush Kiani, Mojtaba Ramezan-Nassab

Publication date: 6 November 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0290-3

zbMATH Keywords

division ringsmultiplicative groupsFC-groupsmaximal subfieldsPI-ringsabsolutely irreducible subgroups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Maximal subgroups (20E28) Infinite-dimensional and general division rings (16K40) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Other matrix groups over rings (20H25) Units, groups of units (associative rings and algebras) (16U60) Skew fields, division rings (12E15) FC-groups and their generalizations (20F24)

Related Items (3)

Group algebras whose p-elements form a subgroup ⋮ Maximal subgroups of almost subnormal subgroups in division rings ⋮ Maximal Subgroups of Subnormal Subgroups ofGL_n(D) with Finite Conjugacy Classes

Cites Work

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• Polynomial identities and maximal subgroups of skew linear groups.
• The Cartan-Brauer-Hua Theorem for Matrix and Local Matrix Rings
• Identities on Maximal Subgroups of GL_n(D)
• Irreducible Subgroups of GL ₁(D) Satisfying Group Identities
• A Generalization of the Cartan-Brauer-Hua Theorem
• Finite Subgroups of Division Rings
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)

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