On Locally Nilpotent Subgroups ofGL1(D)

DOI10.1080/00927870802255287zbMath1167.16028OpenAlexW2097362036MaRDI QIDQ3619584

Nguyen Van Thin, Buj Suan Khaj

Publication date: 8 April 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802255287

zbMATH Keywords

maximal subgroupssubnormal subgroupsmultiplicative groups of division ringslocally nilpotent subgroupslocally soluble subgroups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Generalizations of solvable and nilpotent groups (20F19) Infinite-dimensional and general division rings (16K40) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Units, groups of units (associative rings and algebras) (16U60)

Related Items (7)

A note on locally soluble almost subnormal subgroups in divsion rings ⋮ On subnormal subgroups in general skew linear groups. ⋮ Multiplicative subgroups in weakly locally finite division rings ⋮ A note on the existence of non-cyclic free subgroups in division rings. ⋮ A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS ⋮ On locally solvable subgroups in division rings ⋮ Locally solvable subnormal and quasinormal subgroups in division rings

Cites Work

• Crossed product criteria and skew linear groups
• Maximal subgroups of \(\text{GL}_1(D)\)
• Maximal subgroups of \(\text{GL}_n(D)\)
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)
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