Crossed product criteria and skew linear groups. II.

DOI10.1307/mmj/1029004136zbMath0726.20034OpenAlexW2012835338MaRDI QIDQ802757

Bertram Arthur Frederick Wehrfritz

Publication date: 1990

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029004136

zbMATH Keywords

crossed productsfinite groupsAbelian groupsmatrix ringsdivision algebrasHirsch-Plotkin radicalfree baseslinear groups over division ringslocal and poly operatorslocally nilpotent normal subgroupsmaximal locally finite normal subgroupsprimitive subgroups of GL(n,D)

Mathematics Subject Classification ID

Group rings (16S34) Other matrix groups over rings (20H25) Local properties of groups (20E25) Twisted and skew group rings, crossed products (16S35)

Related Items (6)

Goldie criteria for some semiprime rings ⋮ On soluble skew linear groups over finite-dimensional division algebras. ⋮ Normalizers of subgroups of division rings ⋮ On a recent theorem of M. Shirvani on subgroups of division algebras. ⋮ Locally solvable and solvable-by-finite maximal subgroups of \(\mathrm{GL}_n (D)\) ⋮ On soluble-by-finite subgroups of division algebras.

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