Identities on Maximal Subgroups of GLn(D)

DOI10.1142/S1005386705000428zbMath1081.20059MaRDI QIDQ5461718

M. Mahdavi-Hezavehi, Dariush Kiani

Publication date: 26 July 2005

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

zbMATH Keywords

maximal subgroupssubnormal subgroupspolynomial identitiesdivision ringsgroup identities

Mathematics Subject Classification ID

Maximal subgroups (20E28) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20)

Related Items (5)

Nilpotent and polycyclic-by-finite maximal subgroups of skew linear groups. ⋮ Polynomial identities and maximal subgroups of skew linear groups. ⋮ Maximal subgroups of \(\text{GL}_n(D)\) with finite conjugacy classes. ⋮ NILPOTENT AND LOCALLY FINITE MAXIMAL SUBGROUPS OF SKEW LINEAR GROUPS ⋮ Unnamed Item

Cites Work

• Maximal subgroups of \(\text{GL}_1(D)\)
• Some properties on rings with units satisfying a group identity
• Finitely generated subnormal subgroups of \(\text{GL}_n(D)\) are central
• Normal subgroups of $GL_n(D)$ are not finitely generated
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)
• Unnamed Item
• Unnamed Item

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