RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2005 Volume 321, Pages 197–204 (Mi znsl413)

The Hasse conjecture for cyclic extensions

V. V. Ishkhanov, B. B. Lur'e

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: In the present paper, embedding conditions for a quadratic extension of an algebraic number field into a cyclic 2-extension are presented. An example of an unsolvable embedding problem for which the compatibility condition is fulfilled is constructed.

UDC: 512

Received: 10.12.2004


 English version:
Journal of Mathematical Sciences (New York), 2006, 136:3, 3942–3945

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024