On double covers of the generalized alternating group $ℤ_d ≀ 𝔄_m$ as Galois groups over algebraic number fields

• Autorzy: Martin Epkenhans
• Języki publikacji: EN

Abstrakty

EN

Let $ℤ_d ≀ 𝔄}_m$ be the generalized alternating group. We prove that all double covers of $ℤ_d ≀ 𝔄}_m$ occur as Galois groups over any algebraic number field. We further realize some of these double covers as the Galois groups of regular extensions of ℚ(T). If d is odd and m >7, then every central extension of $ℤ_d ≀ 𝔄}_m$ occurs as the Galois group of a regular extension of ℚ(T). We further improve some of our earlier results concerning double covers of the generalized symmetric group $ℤ_d ≀ 𝔖_m$.

Kategorie tematyczne

• 12F12: Inverse Galois theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 82
• Numer: 2
• Strony: 129-145

Daty

wydano

1997

otrzymano

1996-06-08

Twórcy

autor

Martin Epkenhans

• Fb Mathematik, Universität-Gesamthochschule Paderborn, D-33095 Paderborn, Germany

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