Supersoluble crossed product criterion for division algebras.

DOI10.1007/BF02786697zbMath1070.16021OpenAlexW2014007868MaRDI QIDQ1775480

M. Mahdavi-Hezavehi, R. Ebrahimian, Dariush Kiani

Publication date: 3 May 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786697

zbMATH Keywords

Abelian crossed productscyclic crossed productsgenerating subgroups of multiplicative groups of division algebrasnilpotent crossed productssupersoluble crossed products

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35)

Related Items (5)

Existence of Nonabelian Free Subgroups in the Maximal Subgroups of GL_n(D) ⋮ Maximal subgroups of \(\mathrm{SL}_{n}(D)\) ⋮ Polynomial identities and maximal subgroups of skew linear groups. ⋮ Crossed product conditions for division algebras of prime power degree. ⋮ Maximal subgroups of \(\text{GL}_n(D)\) with finite conjugacy classes.

Cites Work

• Cyclicity conditions for division algebras of prime degree
• Soluble subgroups of the multiplicative group of a field
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