A. C. D. Van Fröhlich
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Mathematics
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(Suggest an Edit or Addition)A. C. D. Van Fröhlich's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Effective procedures in field theory (1956) (269)
- Galois Module Structure of Algebraic Integers (1983) (227)
- Theory of the rheological properties of dispersions (1946) (159)
- Algebraic number theory : proceedings of an instructional conference organized by the London Mathematical Society (a Nato Advanced Study Institute) with the support of the International Mathematical Union (1967) (150)
- On the functional equation of the ArtinL-function for characters of real representations (1973) (118)
- Central extensions, Galois groups, and ideal class groups of number fields (1983) (91)
- The Picard group of noncommutative rings, in particular of orders (1973) (85)
- Distributively Generated Near-Rings: (I. Ideal Theory) (1958) (83)
- Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants. (1985) (83)
- Baer-invariants of algebras (1963) (83)
- Arithmetic and Galois module structure for tame extensions. (1976) (81)
- Gauss Sums and p-adic Division Algebras (1983) (74)
- Non‐Abelian Congruence Gauss Sums and p‐Adic Simple Algebras (1985) (73)
- ELLIPTIC FUNCTIONS ACCORDING TO EISENSTEIN AND KRONECKER (1977) (69)
- Artin-root numbers and normal integral bases for quaternion fields (1972) (67)
- The Near-Ring Generated by the Inner Automorphisms of a Finite Simple Group (1958) (55)
- Algebraic Number Theory: L -functions (1991) (52)
- Locally free modules over arithmetic orders. (1975) (48)
- ON GROUPS OVER A D.G. NEAR-RING (I): SUM CONSTRUCTIONS AND FREE R -GROUPS (1960) (46)
- The genus field and genus group in finite number fields, II (1959) (44)
- Classnumbers and unit signatures (1967) (41)
- The class groups of quaternion and dihedral 2-groups (1974) (41)
- On the classgroup of integral grouprings of finite abelian groups (1969) (34)
- INVARIANTS FOR MODULES OVER COMMUTATIVE SEPARABLE ORDERS (1965) (34)
- On Fields of Class Two (1954) (34)
- Discriminants of algebraic number fields (1960) (33)
- On non-ramified extensions with prescribed Galois group (1962) (33)
- Algebraic Number Theory by A. Fröhlich (1991) (31)
- The discriminants of relative extensions and the existence of integral bases (1960) (30)
- Synthesis of results (1983) (29)
- On the factorisation of polynomials in a finite number of steps (1955) (27)
- L-values at zero and multiplicative Galois module structure (also Galois Gauss sums and additive Galois module structure). (1989) (27)
- The module structure of Kummer extensions over Dedekind domains. (1962) (25)
- Distributively Generated Near-Rings: (II. Representation Theory) (1958) (23)
- Non‐Abelian Homological Algebra I. Derived Functors and Satellites (1961) (23)
- Class Groups and Picard Groups of Orders (1974) (22)
- Ideals in an extension field as modules over the algebraic integers in a finite number field (1960) (21)
- Quadratic forms ‘à la’ local theory (1967) (19)
- Algebraic number fields : (L-functions and Galois properties) : proceedings of a symposium (1977) (19)
- Orthogonal and Symplectic Representations of Groups (1972) (19)
- On the Absolute Class-Group of Abelian Fields (II) (1954) (19)
- Some Problems of Galois Module Structure for Wild Extensions (1978) (18)
- Principal Orders and Embedding of Local Fields in Algebras (1987) (15)
- ON GROUPS OVER A D.G. NEAR-RING (II): CATEGORIES AND FUNCTORS (1960) (15)
- Module Conductors and Module Resolvents (1976) (14)
- Units in real Abelian fields. (1992) (14)
- THE GENERALIZATION OF A THEOREM OF L. RÉDEI'S (1954) (14)
- Module invariants and root numbers for quaternion fields of degree 41r (1974) (13)
- L-functions and Arithmetic: L -functions and Galois modules (1991) (13)
- Artin Root Numbers, Conductors, and Representations for Generalized Quaternion Groups (1974) (12)
- Classgroups and Hermitian Modules (1984) (11)
- HERMITIAN AND QUADRATIC FORMS OVER RINGS WITH INVOLUTION (1969) (11)
- Foundations of equivariant algebraic K-theory (1969) (10)
- Non‐Abelian Homological Algebra II. Varieties (1962) (9)
- A normal integral basis theorem (1976) (9)
- A different with an odd class. (1962) (8)
- ON THE CLASS GROUP OF RELATIVELY ABELIAN FIELDS (1952) (8)
- Non-Abelian Homological Algebra III. The Functors EXT and TOR (1962) (8)
- Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders (1987) (8)
- Resolvents and trace form (1975) (8)
- Resolvents, discriminants, and trace invariants (1966) (7)
- Equivariant brauergroups in algebraic number theory (1971) (7)
- Module defect and factorisability (1988) (7)
- The rational characterization of certain sets of relatively Abelian extensions (1959) (7)
- A NOTE ON THE CLASS FIELD TOWER (1954) (7)
- The Restricted Biquadratic Residue Symbol (1959) (6)
- The arithmetic theory of local Galois Gauss sums for tame characters (1980) (6)
- One-dimensional representations (1983) (6)
- Radical Modules over a Dedekind Domain (1966) (5)
- On a method for the determination of class number factors in number fields (1957) (5)
- Value Distributions of Symplectic Root Numbers (1983) (4)
- Galois module structure and rootnumbers for quaternion extensions of degree 2n (1980) (4)
- On the l -Classgroup of the Field P(Ml) (1962) (3)
- The Galois module structure of algebraic integer rings in fields with generalised quaternion group (1974) (3)
- THE REPRESENTATION OF A FINITE GROUP AS A GROUP OF AUTOMORPHISMS ON A FINITE ABELIAN GROUP (1950) (2)
- Tame representations, local principal orders and local Weil groups (1985) (2)
- Hans Arnold Heilbronn (1977) (2)
- Discriminants and module invariants over a Dedekind domain (1961) (2)
- A Remark on the Class Number of Abelian Fields (1954) (2)
- The genus class group I (1992) (2)
- Galois algebras and their homomorphisms. (1964) (1)
- Change of Order (1984) (1)
- Commutative formal groups of dimension one (1968) (1)
- The Hermitian classgroup (1981) (1)
- Representations of certain group extensions (1983) (1)
- Algebraic Number Theory: Introduction (1991) (1)
- Induction constants for Galois Gauss sums (1983) (0)
- Hans Arnold Heilbronn, 8 October 1908 - 28 April 1975 (1976) (0)
- 3. Central Extensions (1983) (0)
- Arithmetic of local division algebras (1983) (0)
- The basic inductive step (1983) (0)
- Survey of Results (1983) (0)
- Introduction to Gauss Sums (1983) (0)
- Root Number Values (1983) (0)
- 1. Background from Class Field Theory (1983) (0)
- The general inductive process (1983) (0)
- Resolvents, Galois Gauss Sums, Root Numbers, Conductors (1983) (0)
- University of Groningen Absence of Symmetry Breaking for N-Vector Spin Glass Models in Two Dimensions (2005) (0)
- Algebraic Number Theory: Algebraic Foundations (1991) (0)
- Classgroups and Determinants (1983) (0)
- The basic correspondence (1983) (0)
- Journal of Algebra Algebra Editor-in-chief: Graham Higman Contents of Volume 70 (0)
- Involution Algebras and the Hermitian Classgroup (1984) (0)
- Classgroups and Units (1991) (0)
- 2. The Genus Field and the Genus Group (1983) (0)
- Commutative formal groups of dimension one over a discrete valuation ring (1968) (0)
- Indecomposable Involution Algebras (1984) (0)
- 5. More on Class Groups (1983) (0)
- ARITHMETICAL ALGEBRAIC GEOMETRY (PROCEEDINGS OF A CONFERENCE HELD AT PURDUE UNIVERSITY, DEC. 1963) (1969) (0)
- Notation and Conventions (1983) (0)
- Algebraic Number Theory: Cyclotomic Fields (1991) (0)
- Applications in Arithmetic (1984) (0)
- Algebraic Number Theory: Diophantine Equations (1991) (0)
- 6. Some Remarks on History and Literature (1983) (0)
- Congruences and Logarithmic Values (1983) (0)
- Algebraic Number Theory: Fields of low degree (1991) (0)
- 4. Maximal Quasicentral Extensions, Maximal ℓ-Extensions and Maximal Class Two Extensions (1983) (0)
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