Galois realizability of groups of order 64

• Autorzy: Helen Grundman , Tara Smith
• Języki publikacji: EN

Abstrakty

EN

This article examines the realizability of groups of order 64 as Galois groups over arbitrary fields. Specifically, we provide necessary and sufficient conditions for the realizability of 134 of the 200 noncyclic groups of order 64 that are not direct products of smaller groups.

Słowa kluczowe

EN

Inverse Galois theory; 2-groups

Kategorie tematyczne

• 12F12: Inverse Galois theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 5
• Strony: 846-854

Daty

wydano

2010-10-01

online

2010-09-28

Twórcy

autor

Helen Grundman

• Bryn Mawr College

autor

Tara Smith

• University of Cincinnati

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0052-1