Maximal Subgroups of Subnormal Subgroups ofGLn(D) with Finite Conjugacy Classes

DOI10.1080/00927870903451926zbMath1222.20035OpenAlexW1983112711MaRDI QIDQ3081517

Dariush Kiani, Mojtaba Ramezan-Nassab

Publication date: 8 March 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903451926

zbMATH Keywords

maximal subgroupssubnormal subgroupsdivision ringsmultiplicative groupsFC-groupsmaximal subfields

Mathematics Subject Classification ID

Maximal subgroups (20E28) Infinite-dimensional and general division rings (16K40) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Chains and lattices of subgroups, subnormal subgroups (20E15) 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 (2)

Maximal subgroups of almost subnormal subgroups in division rings ⋮ Nilpotent and polycyclic-by-finite maximal subgroups of skew linear groups.

Cites Work

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• Maximal subgroups of \(\text{GL}_n(D)\) with finite conjugacy classes.
• Multiplicative commutators in division rings
• Maximal subgroups of \(\text{GL}_n(D)\)
• Finitely generated subnormal subgroups of \(\text{GL}_n(D)\) are central
• Nilpotent maximal subgroups of \(\text{GL}_n(D)\).
• Polynomial identities and maximal subgroups of skew linear groups.
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)

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