AbstractLet K be a quadratic imaginary number field, an integral ideal in K and K() the ray class field modulo over K. For certain extensions K()/K(∗), ∗|, it is shown that the ring of integers in K() is a free rank one module over the associated order (1.2) of K()/K(∗) in the group ring of Gal(K()/K(∗)) on K(∗). The associated order and generating elements are both constructed by elliptic functions
AbstractLetMbe either the field of rationals Q or a quadratic imaginary number field. We denote byNa...
AbstractLet K be an imaginary quadratic number field and Rf the ring class field modulo f over K, f ...
AbstractLet k be the power series field over a finite field of characteristic p>0. Let L be a cyclic...
AbstractLet K be a quadratic imaginary number field and Rf the ring class field module f over K, f ∈...
AbstractLet E/L be an elliptic curve defined over a number field L with complex multiplication by th...
Let $K$ be an imaginary quadratic field. For an order $\mathcal{O}$ in $K$ and a positive integer $N...
112 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987.M. J. Taylor has described th...
AbstractIn this paper we state the problem of Galois module structure of rings of integers of extens...
Let K be an imaginary quadratic field with class number one and let [special characters omitted] be ...
Suppose N/L is a finite Galois extension of number fields, and L contains an imaginary quadratic fie...
AbstractLet K be a quadratic imaginary number field with discriminant DK≠-3,-4 and class number one....
AbstractLet K be an algebraic number field, ο=OK its ring of integers, and G an elementary abelian g...
AbstractLet p be an odd prime number and k a finite extension of Qp. Let K/k be a totally ramified e...
We develop a method to compute a basis of the associated order in a Hopf Galois structure H of the r...
AbstractLet k be a number field, l be a prime number, Γ be a group of order l; assume that k and the...
AbstractLetMbe either the field of rationals Q or a quadratic imaginary number field. We denote byNa...
AbstractLet K be an imaginary quadratic number field and Rf the ring class field modulo f over K, f ...
AbstractLet k be the power series field over a finite field of characteristic p>0. Let L be a cyclic...
AbstractLet K be a quadratic imaginary number field and Rf the ring class field module f over K, f ∈...
AbstractLet E/L be an elliptic curve defined over a number field L with complex multiplication by th...
Let $K$ be an imaginary quadratic field. For an order $\mathcal{O}$ in $K$ and a positive integer $N...
112 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987.M. J. Taylor has described th...
AbstractIn this paper we state the problem of Galois module structure of rings of integers of extens...
Let K be an imaginary quadratic field with class number one and let [special characters omitted] be ...
Suppose N/L is a finite Galois extension of number fields, and L contains an imaginary quadratic fie...
AbstractLet K be a quadratic imaginary number field with discriminant DK≠-3,-4 and class number one....
AbstractLet K be an algebraic number field, ο=OK its ring of integers, and G an elementary abelian g...
AbstractLet p be an odd prime number and k a finite extension of Qp. Let K/k be a totally ramified e...
We develop a method to compute a basis of the associated order in a Hopf Galois structure H of the r...
AbstractLet k be a number field, l be a prime number, Γ be a group of order l; assume that k and the...
AbstractLetMbe either the field of rationals Q or a quadratic imaginary number field. We denote byNa...
AbstractLet K be an imaginary quadratic number field and Rf the ring class field modulo f over K, f ...
AbstractLet k be the power series field over a finite field of characteristic p>0. Let L be a cyclic...
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