Semidirect product division algebras

Louis H. Rowen, David J. Saltman

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Suppose D is a division algebra of degree p over its center F, which contains a primitive p-root of 1. Also suppose D has a maximal separable subfield over F whose Galois group is the semidirect product of the cyclic groups C p C q, where q=2, 3, 4, or 6 and is relatively prime to p (In particular this is the case when p is prime ≤7 and D has a maximal separable subfield whose Galois group is solvable.) Then D is cyclic. The proof involves developing a theory of a wider class of algebras, which we call accessible, and proving that they are cyclic.

Original languageEnglish
Pages (from-to)527-552
Number of pages26
JournalIsrael Journal of Mathematics
Issue number2
StatePublished - Jun 1996


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