Galois realizability of groups of orders p 5 and p 6

• Autorzy: Ivo Michailov
• Języki publikacji: EN

Abstrakty

EN

Let p be an odd prime and k an arbitrary field of characteristic not p. We determine the obstructions for the realizability as Galois groups over k of all groups of orders p 5 and p 6 that have an abelian quotient obtained by factoring out central subgroups of order p or p 2. These obstructions are decomposed as products of p-cyclic algebras, provided that k contains certain roots of unity.

Słowa kluczowe

EN

Embedding problem; Galois group; p-group; Quaternion algebra; Cyclic algebra

Kategorie tematyczne

• 12F12: Inverse Galois theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 5
• Strony: 910-923

Daty

wydano

2013-05-01

online

2013-03-14

Twórcy

autor

Ivo Michailov

• Shumen University “Episkop Konstantin Preslavski”

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0217-9