Crossed product conditions for division algebras of prime power degree.

DOI10.1016/j.jalgebra.2004.04.022zbMath1069.16018OpenAlexW1963978679MaRDI QIDQ1770498

M. Mahdavi-Hezavehi, Dariush Kiani

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.04.022

zbMATH Keywords

crossed productscentral division algebrasTits alternativeirreducible subgroupsgroup identities

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35) Units, groups of units (associative rings and algebras) (16U60)

Related Items

SOLVABLE CROSSED PRODUCT ALGEBRAS REVISITED ⋮ Crossed product conditions for central simple algebras in terms of irreducible subgroups. ⋮ Polynomial identities and maximal subgroups of skew linear groups. ⋮ Maximal subgroups of \(\text{GL}_n(D)\) with finite conjugacy classes.

Cites Work

• Supersoluble crossed product criterion for division algebras.
• Cyclicity conditions for division algebras of prime degree
• Soluble subgroups of the multiplicative group of a field
• Irreducible Subgroups of GL ₁(D) Satisfying Group Identities
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)
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