Supersoluble crossed product criterion for division algebras

Autor:	M. Mahdavi-Hezavehi, R. Ebrahimian, Dariush Kiani
Rok vydání:	2005
Předmět:	Algebra Mathematics::Group Theory Nilpotent Crossed product General Mathematics Mathematics::Rings and Algebras Multiplicative function Division algebra Algebra over a field Division (mathematics) Mathematics::Representation Theory Mathematics
Zdroj:	Israel Journal of Mathematics. 145:325-331
ISSN:	1565-8511 0021-2172
DOI:	10.1007/bf02786697
Popis:	LetD be a finite-dimensionalF-central division algebra. A criterion is given forD to be a supersoluble (nilpotent) crossed product division algebra in terms of subgroups of the multiplicative groupD* ofD. More precisely, it is shown thatD is a supersoluble (nilpotent) crossed product if and only ifD* contains an abelian-by-supersoluble (abelian-by-nilpotent) generating subgroup.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::25ae9d391c8c92ef72cbab06984df83c https://doi.org/10.1007/bf02786697 Zobrazit plný text záznamu Full text from SpringerLink