Subnormal subgroups in division rings with generalized power central group identities.

DOI10.1007/s00013-016-0886-2zbMath1350.16027OpenAlexW2289909372MaRDI QIDQ267040

Mai Hoang Bien

Publication date: 7 April 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0886-2

zbMATH Keywords

subnormal subgroupsmultiplicative groups of division ringsfinite-dimensional division ringsgeneralized group identitiesHerstein conjecturelocally PI division ringspower central identities

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Chains and lattices of subgroups, subnormal subgroups (20E15) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Unnamed Item, Generalized power central group identities in almost subnormal subgroups of $\operatorname {GL}_n(D)$, *-Group identities on units of division rings, Algebraic commutators with respect to subnormal subgroups in division rings

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