A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS

DOI10.1017/s0004972722001599OpenAlexW4315648905MaRDI QIDQ6090193

Trinh Thanh Deo, Le Qui Danh

Publication date: 14 November 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722001599

zbMATH Keywords

division ringfree subgroupsubnormal subgroupsolvable subgroup

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Free nonabelian groups (20E05) Finite-dimensional division rings (16K20) Associative rings of fractions and localizations (16S85)

Cites Work

• Unnamed Item
• Unnamed Item
• On subnormal subgroups in general skew linear groups.
• Are there free groups in division rings?
• Theory of non-commutative polynomials
• Locally solvable subnormal and quasinormal subgroups in division rings
• Free subgroups in linear groups
• On Locally Nilpotent Subgroups ofGL₁(D)
• Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings
• On Subgroups of the Multiplicative Group of Skew Fields
• Free Subgroups of Normal Subgroups of the Multiplicative Group of Skew Fields
• On subnormal subgroups in division rings containing a non-abelian solvable subgroup
• On free subgroups in division rings

This page was built for publication: A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS