Klaus Wilhelm Roggenkamp | Academic Influence

Klaus Wilhelm Roggenkamp's AcademicInfluence.com Rankings

Klaus Wilhelm Roggenkamp

Mathematics

#6081

World Rank

#8484

Historical Rank

Group Theory

#250

World Rank

#297

Historical Rank

Algebra

#312

World Rank

#438

Historical Rank

Number Theory

#351

World Rank

#438

Historical Rank

mathematics Degrees

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Mathematics

Klaus Wilhelm Roggenkamp's Degrees

PhD Mathematics University of Bonn
Masters Mathematics University of Bonn
Bachelors Mathematics University of Bonn

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Why Is Klaus Wilhelm Roggenkamp Influential?

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According to Wikipedia, Klaus Wilhelm Roggenkamp was a German mathematician, specializing in algebra. Education and career As an undergraduate, Roggenkamp studied mathematics from 1960 to 1964 at the University of Giessen. There in 1967 he received his PhD. His thesis Darstellungen endlicher Gruppen in Polynombereichen was written under the supervision of Hermann Boerner. As a postdoc Roggenkamp was at the University of Illinois at Urbana-Champaign, where he studied under Irving Reiner, and at the University of Montreal. After four years as a professor at Bielefeld University, he was appointed to the chair of algebra at the University of Stuttgart.

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Klaus Wilhelm Roggenkamp'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

Lattices over Orders I (1970) (139)
Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group (1975) (78)
Diagrammatic methods in the representation theory of orders (1979) (74)
The construction of almost split sequences for integral group rings and orders (1977) (37)
Almost split sequences for integral group rings and orders (1976) (34)
A characterization of orders of finite lattice type (1972) (33)
Group Rings and Class Groups (1992) (31)
The normalizer of a finite group in its integral group ring and Cech cohomology (2001) (31)
Blocks of cyclic defect and green-orders (1992) (31)
Path orders of global dimension two (1983) (27)
The isomorphism problem for integral group rings of finite groups (1992) (27)
Integral representations and structure of finite group rings (1980) (22)
Orders and their Applications (1985) (21)
Auslander—Reiten species of Bäckström orders (1983) (19)
Hecke actions on picard groups (1982) (19)
A Sylowlike theorem for integral group rings of finite solvable groups (1993) (18)
GORENSTEIN TILED ORDERS (2001) (17)
Outer group automorphisms may become inner in the integral group ring (1995) (17)
Projective limits of group rings (1993) (17)
Units in metabelian group rings: Non-splitting examples for normalized units (1983) (16)
Computational Aspects of the Isomorphism Problem (1997) (15)
Socle-determined categories of representations of Artinian hereditary tensor algebras (1980) (15)
Algebra - representation theory (2001) (14)
Integral group rings of solvable finite groups have no idempotent ideals (1974) (14)
Subgroup rigidity of p-adic group rings (Weiss arguments revisited) (1992) (13)
Relation modules of finite groups and related topics (1973) (13)
Higher-dimensional orders, graph-orders, and derived equivalences (2001) (13)
Integral representations and presentations of finite groups (1979) (13)
Auslander-Reiten species for socle determined categories of hereditary algebras and for generalized Bäckström orders (1983) (13)
The lattice type of orders II: Auslander-Reinten quivers (1981) (12)
Auslander-reiten quivers of schurian orders (1984) (11)
Auslander-Reiten triangles in derived categories (1996) (11)
Automorphisms and isomorphisms of integral group rings of finite groups (1984) (11)
Some examples of orders of global dimension two (1977) (10)
Generalized Brauer tree orders (1996) (10)
Orders of global dimension two (1978) (10)
A counterexample for the isomorphism-problem of polycyclic groups☆ (1995) (10)
Auslander-Reiten Sequences for "Nice" Torsion Theories of Artinian Algebras (1980) (10)
Representation theory of blocks of defect 1 (1980) (10)
On minimal pairs and residually transcendental extensions of valuations (2002) (10)
Groups St Andrews 1989: Observations on a conjecture of Hans Zassenhaus (1991) (9)
Integral Representations and Applications (1981) (9)
An extension of the Noether-Deuring theorem (1972) (9)
Decomposition of the Relation Modules of a Finite Group (1976) (9)
Lattices over subhereditary orders and socle-projective modules (1989) (9)
UNITS IN INTEGRAL METABELIAN GROUPRINGS I, JACKSON'S UNIT THEOREM REVISITED (1981) (8)
Extension categories of groups and modules, I: Essential covers (1977) (8)
Indecomposable representations of orders of global dimension two (1980) (8)
Principal Homogeneous Spaces (1992) (7)
Units in group rings: Splittings and the isomorphism problem (1985) (7)
Proceedings of Groups – St Andrews 1985: The isomorphism problem for integral group rings of finite nilpotent groups (1987) (6)
Groupings of Metabelian Groups and Extension Categories (1980) (6)
Injective modules for group rings and Gorenstein orders (1973) (6)
A Mayer-Vietoris sequence for Picard groups, with applications to integral group rings of dihedral and quaternion groups (1988) (6)
Groups '93 Galway / St Andrews: Automorphisms of Burnside rings (1995) (6)
On the isomorphism problem for integral group rings of finite groups (1992) (6)
Gorenstein orders of finite representation type and bijective lattices (1986) (6)
Groups – St Andrews 1981: The isomorphism problem and units in group rings of finite groups (1982) (6)
Projective covers for augmentation ideals of finite groups (1975) (6)
Some necessary conditions for orders to be of finite lattice type. I. (1972) (5)
The Cell Structure, the Brauer Tree Structure, and Extensions of Cell Modules for Hecke Orders of Dihedral Groups☆☆☆ (2001) (5)
Blocks with cyclic defect of Hecke orders of Coxeter groups (2000) (5)
Orders in non-semisimple algebras (1999) (5)
Cohen-Macaulay modules over two-dimensional graph orders (1999) (5)
Automorphisms and nonabelian cohomology: an algorithm (1993) (5)
Cohen macaulay rings of global dimension two and krull dimension two (1994) (4)
The Structure over Z[q, q−1] of Hecke Orders of Dihedral Groups (2000) (4)
The lattice type of orders: A diagrammatic approach. I (1980) (4)
Extension categories of groups and modules II. Stem extensions (1980) (4)
Cohomology of groups and splendid equivalences of derived categories (4)
Algebras of global dimension two (1978) (3)
On the Irreducible Lattices of Orders (1969) (3)
Projective homomorphisms and extensions of lattices. (1971) (3)
The higman ideal and extensions of lattices (1970) (3)
The Decomposition of Relation Modules: A Correction (1982) (3)
Integral Jordan decomposition of matrices (2002) (3)
Indecomposable representations of orders and Dynkin diagramm (1979) (3)
TILTED ORDERS AND ORDERS OF FINITE GLOBAL DIMENSION (1986) (3)
Grothendieck groups of hereditary orders. (1969) (2)
Structure of integral group rings (1981) (2)
Blocks with cyclic defect (Green orders) (1994) (2)
Classification of the completely primary totally ramified orders with a finite number of nonisomorphic indecomposable lattices (1972) (2)
A note on hereditary rings (1989) (2)
Auslander-reiten quivers of orders as auslander-reiten quivers of module categories over artinian rings (1987) (2)
Some new progress on the isomorphismproblem for integral group rings (1988) (2)
Indecomposable representations of orders (1990) (2)
Almost split sequences for algebras and orders: A unified approach (1995) (2)
Projective modules over clean orders (1969) (2)
The derived category of a hereditary order (1995) (2)
Preliminaries on rings and modules (1970) (2)
Units in metabelian rings: Non-splitting examples for normalized units: Journal of Pure and Applied Algebra 27 (1983) 299–314 (1983) (2)
A Remark on Separable Orders (1969) (1)
Auslander-Reiten Quivers for Some Artinian Torsion Theories and Integral Representations (1984) (1)
Almost split sequences for some non-classical lattice categories (1987) (1)
A necessary and sufficient condition for orders in direct sums of complete skewfields to have only finitely many nonisomorphic indecomposable integral representations (1970) (1)
R-orders in a Split Algebra have Finitely Many Non-Isomorphic Irreducible Lattices as soon as R has Finite Class Number (1971) (1)
Itô's Theorem and character degrees revisited (1988) (1)
Global dimension of factor rings (1994) (1)
Orders and Their Applications: Proceedings of a Conference Held in Oberwolfach, West Germany June 3-9, 1984 (1985) (1)
Special types of orders (1970) (0)
Genera of lattices (1970) (0)
On the global structure of regular orders of dimension two (1997) (0)
Arithmetic Applications:- The Elliptic Case (1992) (0)
2-Dimensional Orders and Integral Hecke Orders (2001) (0)
Bezout orders (1995) (0)
An exceptional decomposition of the augmentation ideal of PSL (2,7) (1977) (0)
Isomorphisms and automorphisms of integral group rings (1990) (0)
Clifford theory revisited (1992) (0)
Morita theorems and separable algebras (1970) (0)
The Structure of Some Group Rings (1999) (0)
Some orders of infinite lattice type (1971) (0)
GROUP RINGS, HECKE ORDERS, QUASI-HEREDITARY ORDERS, CELLULAR ORDERS AND DEFORMATIONS (2001) (0)
Some necessary conditions for orders to be of finite lattice type. II. (1972) (0)
The augmentation ideal of a finite group, an interesting module (1975) (0)
Projective ideals in clean orders (1970) (0)
The number of indecomposable lattices over orders (1970) (0)
Locally isomorphic group rings (1992) (0)
Global dimension and a question of Armendariz (1991) (0)
Pure Unital Local Principal Ideal Domains in Local Fields (1980) (0)
Class sum correspondence (1992) (0)
A characterization of hereditary P.I. rings (1989) (0)
Hereditary rings with a polynomial identity 1 (1990) (0)
A note on Grothendieck groups of group rings and orders (1990) (0)
Some general facts (1992) (0)
Classification of the completely primary totally ramified orders of finite lattice type. (1973) (0)
Grothendieck Groups of Bass Orders (1971) (0)
The leading coefficient of units (1992) (0)
Introduction and Review of the Tame Case (1992) (0)
Hecke Orders, Cellular Orders and Quasi-Hereditary Orders (2001) (0)
Inner products on a Green ring for finite groups with a cyclic $P$-sylow subgroup (1985) (0)
Arithmetic Applications:- The Cyclotomic Case (1992) (0)
Some notes on representation theory (1992) (0)
Modules over orders, one-sided ideals over maximal orders (1970) (0)
Integral representations and applications : proceedings of a conference held at Oberwolfach, Germany, June 22-28, 1980 (1981) (0)

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