Commutators in division rings revisited

zbMath0983.16012MaRDI QIDQ5939032

M. Mahdavi-Hezavehi

Publication date: 10 December 2001

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

zbMATH Keywords

commutativity theoremscentresnormal subgroupssubnormal subgroupsmatrix ringscommutator subgroupsalgebraic division ringsmultiplicative groups of division rings

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Subgroup theorems; subgroup growth (20E07) Infinite-dimensional and general division rings (16K40) Other matrix groups over rings (20H25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Subnormal subgroups in division rings with generalized power central group identities. ⋮ Commutators in special linear groups over certain division rings ⋮ Algebraic commutators with respect to subnormal subgroups in division rings ⋮ Certain simple maximal subfields in division rings ⋮ Subnormal subgroups and self-invariant maximal subfields in division rings ⋮ A note on subgroups in a division ring that are left algebraic over a division subring

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