Some Skew Linear Groups Satisfying Generalized Group Identities

DOI10.1080/00927872.2015.1044109zbMath1357.20022OpenAlexW2343253243MaRDI QIDQ2815397

Mai Hoang Bien, Dariush Kiani, Mojtaba Ramezan-Nassab

Publication date: 28 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1044109

zbMATH Keywords

general linear groupssubnormal subgroupsdivision rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Linear algebraic groups over adèles and other rings and schemes (20G35) Division rings and semisimple Artin rings (16K99)

Related Items (6)

Some identities on twisted group algebras ⋮ Free subgroups in almost subnormal subgroups of general skew linear groups ⋮ *-Group identities on units of division rings ⋮ Engel subnormal subgroups of skew linear groups ⋮ Unnamed Item ⋮ Automorphism groups of vector spaces with generalized group identities

Cites Work

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• (Locally soluble)-by-(locally finite) maximal subgroups of \(\text{GL}_n(D)\).
• Are there free groups in division rings?
• Generalized rational identities of subnormal subgroups of skew fields
• Some skew linear groups with Engel's condition

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