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Greither, Cornelius

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Author ID: greither.cornelius Recent zbMATH articles by "Greither, Cornelius"
Published as: Greither, C.; Greither, Cornelius
Documents Indexed: 81 Publications since 1979, including 4 Books
Reviewing Activity: 178 Reviews

Publications by Year

Citations contained in zbMATH Open

61 Publications have been cited 496 times in 346 Documents Cited by Year
Hopf Galois theory for separable field extensions. Zbl 0615.12026
Greither, Cornelius; Pareigis, Bodo
65
1987
On the equivariant Tamagawa number conjecture for Tate motives. Zbl 1142.11076
Burns, D.; Greither, C.
46
2003
Class groups of abelian fields, and the main conjecture. Zbl 0729.11053
Greither, Cornelius
38
1992
Swan modules and Hilbert-Speiser number fields. Zbl 0941.11044
Greither, Cornelius; Replogle, Daniel R.; Rubin, Karl; Srivastav, Anupam
25
1999
Cyclic Galois extensions of commutative rings. Zbl 0788.13003
Greither, Cornelius
20
1992
Fitting ideals of class groups of real fields with prime power conductor. Zbl 0926.11085
Cornacchia, Pietro; Greither, Cornelius
19
1998
Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring. Zbl 0737.11038
Greither, C.
18
1992
An equivariant main conjecture in Iwasawa theory and applications. Zbl 1330.11070
Greither, Cornelius; Popescu, Cristian D.
15
2015
A Galois correspondence for radical extensions of fields. Zbl 0607.12015
Greither, C.; Harrison, D. K.
14
1986
On the two generator problem for the ideals of a one-dimensional ring. Zbl 0522.13009
Greither, Cornelius
14
1982
Some cases of Brumer’s conjecture for abelian CM extensions of totally real fields. Zbl 0965.11047
Greither, Cornelius
13
2000
Computing Fitting ideals of Iwasawa modules. Zbl 1067.11067
Greither, Cornelius
11
2004
Equivariant Weierstrass preparation and values of \(L\)-functions at negative integers. Zbl 1142.11371
Burns, David; Greither, Cornelius
11
2003
Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation. Zbl 1159.11042
Greither, Cornelius; Kurihara, Masato
10
2008
Realizable classes of non abelian extensions. Zbl 1137.11069
Byott, Nigel P.; Greither, Cornelius; Sodaïgui, Bouchaïb
10
2006
Determining Fitting ideals of minus class groups via the equivariant Tamagawa number conjecture. Zbl 1135.11059
Greither, Cornelius
9
2007
Arithmetic annihilators and Stark-type conjectures. Zbl 1072.11083
Greither, Cornelius
9
2004
The Brumer-Stark conjecture in some families of extensions of specified degree. Zbl 1094.11043
Greither, Cornelius; Roblot, Xavier-François; Tangedal, Brett A.
9
2004
On universal norms in \(\mathbb{Z}_ p\)-extensions. Zbl 0833.11051
Greither, Cornelius
9
1994
Seminormality, projective algebras, and invertible algebras. Zbl 0478.13003
Greither, Cornelius
9
1981
The Galois module structure of \(\ell \)-adic realizations of Picard 1-motives and applications. Zbl 1254.11063
Greither, Cornelius; Popescu, Cristian D.
7
2012
Annihilators for the class group of a cyclic field of prime power degree. II. Zbl 1155.11054
Greither, Cornelius; Kučera, Radan
6
2006
The structure of some minus class groups, and Chinburg’s third conjecture for abelian fields. Zbl 0919.11072
Greither, Cornelius
6
1998
On relatively invariant circular units and Stickelberger elements. Zbl 0801.11044
Greither, Cornelius
6
1993
Relative integral normal bases in \({\mathbb{Q}}(\zeta_ p)\). Zbl 0718.11053
Greither, Cornelius
6
1990
Annihilators of minus class groups of imaginary Abelian fields. Zbl 1128.11050
Greither, Cornelius; Kučera, Radan
5
2007
On normal integral bases in ray class fields over imaginary quadratic fields. Zbl 0866.11064
Greither, Cornelius
5
1997
On a transformation of the Hopf algebra in a Hopf Galois extension. Zbl 0890.16021
Greither, Cornelius
5
1996
Eigenspaces of the ideal class group. Zbl 1315.11093
Greither, Cornelius; Kučera, Radan
4
2014
Linear forms on Sinnott’s module. Zbl 1309.11079
Greither, Cornelius; Kučera, Radan
4
2014
On totally real Hilbert–Speiser fields of type \(C_p\). Zbl 1247.11141
Greither, Cornelius; Johnston, Henri
4
2009
Hopf algebras, polynomial formal groups, and Raynaud orders. Zbl 1042.14019
Childs, Lindsay; Greither, Cornelius; Moss, David J.; Sauerberg, Jim; Zimmermann, Karl
4
1998
\(p\)-elementary group schemes – constructions, and Raynaud’s theory. Zbl 0983.14032
Greither, C.; Childs, L. N.
4
1998
Cyclic Galois extensions and normal bases. Zbl 0743.11060
Greither, C.
4
1991
A note on seminormal rings and \({\mathbb{A}}^ 1\)-fibrations. Zbl 0602.13001
Greither, Cornelius
4
1986
Fitting ideals of \(\ell \)-adic realizations of Picard 1-motives and class groups of global function fields. Zbl 1294.11103
Greither, Cornelius; Popescu, Cristian D.
3
2013
Annihilators for the class group of a cyclic field of prime power degree. Zbl 1065.11089
Greither, Cornelius; Kučera, Radan
3
2004
Improving Ramachandra’s and Levesque’s unit index. Zbl 0940.11050
Greither, Cornelius
3
1999
Unramified Kummer extensions of prime power degree. Zbl 0705.13004
Greither, C.
3
1989
Zum Kürzungsproblem kommutativer Algebren. Zbl 0553.13005
Greither, Cornelius
3
1983
Abstract \(\ell\)-adic 1-motives and Tate’s canonical class for number fields. Zbl 1405.11144
Greither, Cornelius; Popescu, Cristian D.
2
2018
Annihilators for the class group of a cyclic field of prime power degree. III. Zbl 1374.11087
Greither, Cornelius; Kučera, Radan
2
2015
Corrigendum to “The Brumer-Stark conjecture in some families of extensions of specified degree”. Zbl 1304.11127
Greither, Cornelius; Roblot, Xavier-François; Tangedal, Brett A.
2
2015
On the restricted Hilbert-Speiser and Leopoldt properties. Zbl 1286.11186
Byott, Nigel P.; Carter, James E.; Greither, Cornelius; Johnston, Henri
2
2011
On a conjecture concerning minus parts in the style of Gross. Zbl 1157.11042
Greither, Cornelius; Kučera, Radan
2
2008
An equivariant version of an index formula of Fröhlich and McCulloh. Zbl 0909.11049
Greither, Cornelius
2
1998
On Chinburg’s second conjecture for abelian fields. Zbl 0856.11051
Greither, Cornelius
2
1996
Cyclic Galois extensions and normal bases. Zbl 0706.13009
Greither, Cornelius
2
1989
Galois extensions of prime degree. Zbl 0706.13008
Greither, Cornelius; Miranda, Rick
2
1989
Construction of a Hopf algebra of \({\mathbb{Z}}\)-rank \(n^{\phi (n)+1}\) whose antipode has order 2n. Zbl 0672.16007
Greither, Cornelius
2
1989
Abelsche Galoiserweiterungen von R[X]. Zbl 0509.13003
Greither, Cornelius; Haggenmueller, Rudolf
2
1982
Serre’s problem for one-dimensional ground rings. Zbl 0492.13006
Greither, Cornelius
2
1982
Bounds on the number of ideals in finite commutative nilpotent \(\mathbb F_p\)-algebras. Zbl 1399.13026
Childs, Lindsay N.; Greither, Cornelius
1
2018
CM fields without unit-primitive elements. Zbl 1393.11072
Greither, Cornelius; Zaïmi, Toufik
1
2017
Fitting ideals of Iwasawa modules and of the dual of class groups. Zbl 1416.11158
Greither, Cornelius; Kurihara, Masato
1
2017
Non-existence and splitting theorems for normal integral bases. Zbl 1257.11100
Greither, Cornelius; Johnston, Henri
1
2012
Capitulation for locally free class groups of orders of group algebras over number fields. Zbl 1189.11052
Greither, Cornelius; Johnston, Henri
1
2009
The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems. Zbl 1041.11074
Greither, Cornelius; Kučera, Radan
1
2002
Galois-Cohen-Lenstra heuristics. Zbl 1075.11070
Greither, Cornelius
1
2000
Constructing monogenic Hopf algebras over \(p\)-adic rings of integers. Zbl 0836.16022
Greither, Cornelius
1
1995
Forms of the affine line and their genus. Zbl 0576.14028
Greither, Cornelius
1
1986
Abstract \(\ell\)-adic 1-motives and Tate’s canonical class for number fields. Zbl 1405.11144
Greither, Cornelius; Popescu, Cristian D.
2
2018
Bounds on the number of ideals in finite commutative nilpotent \(\mathbb F_p\)-algebras. Zbl 1399.13026
Childs, Lindsay N.; Greither, Cornelius
1
2018
CM fields without unit-primitive elements. Zbl 1393.11072
Greither, Cornelius; Zaïmi, Toufik
1
2017
Fitting ideals of Iwasawa modules and of the dual of class groups. Zbl 1416.11158
Greither, Cornelius; Kurihara, Masato
1
2017
An equivariant main conjecture in Iwasawa theory and applications. Zbl 1330.11070
Greither, Cornelius; Popescu, Cristian D.
15
2015
Annihilators for the class group of a cyclic field of prime power degree. III. Zbl 1374.11087
Greither, Cornelius; Kučera, Radan
2
2015
Corrigendum to “The Brumer-Stark conjecture in some families of extensions of specified degree”. Zbl 1304.11127
Greither, Cornelius; Roblot, Xavier-François; Tangedal, Brett A.
2
2015
Eigenspaces of the ideal class group. Zbl 1315.11093
Greither, Cornelius; Kučera, Radan
4
2014
Linear forms on Sinnott’s module. Zbl 1309.11079
Greither, Cornelius; Kučera, Radan
4
2014
Fitting ideals of \(\ell \)-adic realizations of Picard 1-motives and class groups of global function fields. Zbl 1294.11103
Greither, Cornelius; Popescu, Cristian D.
3
2013
The Galois module structure of \(\ell \)-adic realizations of Picard 1-motives and applications. Zbl 1254.11063
Greither, Cornelius; Popescu, Cristian D.
7
2012
Non-existence and splitting theorems for normal integral bases. Zbl 1257.11100
Greither, Cornelius; Johnston, Henri
1
2012
On the restricted Hilbert-Speiser and Leopoldt properties. Zbl 1286.11186
Byott, Nigel P.; Carter, James E.; Greither, Cornelius; Johnston, Henri
2
2011
On totally real Hilbert–Speiser fields of type \(C_p\). Zbl 1247.11141
Greither, Cornelius; Johnston, Henri
4
2009
Capitulation for locally free class groups of orders of group algebras over number fields. Zbl 1189.11052
Greither, Cornelius; Johnston, Henri
1
2009
Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation. Zbl 1159.11042
Greither, Cornelius; Kurihara, Masato
10
2008
On a conjecture concerning minus parts in the style of Gross. Zbl 1157.11042
Greither, Cornelius; Kučera, Radan
2
2008
Determining Fitting ideals of minus class groups via the equivariant Tamagawa number conjecture. Zbl 1135.11059
Greither, Cornelius
9
2007
Annihilators of minus class groups of imaginary Abelian fields. Zbl 1128.11050
Greither, Cornelius; Kučera, Radan
5
2007
Realizable classes of non abelian extensions. Zbl 1137.11069
Byott, Nigel P.; Greither, Cornelius; Sodaïgui, Bouchaïb
10
2006
Annihilators for the class group of a cyclic field of prime power degree. II. Zbl 1155.11054
Greither, Cornelius; Kučera, Radan
6
2006
Computing Fitting ideals of Iwasawa modules. Zbl 1067.11067
Greither, Cornelius
11
2004
Arithmetic annihilators and Stark-type conjectures. Zbl 1072.11083
Greither, Cornelius
9
2004
The Brumer-Stark conjecture in some families of extensions of specified degree. Zbl 1094.11043
Greither, Cornelius; Roblot, Xavier-François; Tangedal, Brett A.
9
2004
Annihilators for the class group of a cyclic field of prime power degree. Zbl 1065.11089
Greither, Cornelius; Kučera, Radan
3
2004
On the equivariant Tamagawa number conjecture for Tate motives. Zbl 1142.11076
Burns, D.; Greither, C.
46
2003
Equivariant Weierstrass preparation and values of \(L\)-functions at negative integers. Zbl 1142.11371
Burns, David; Greither, Cornelius
11
2003
The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems. Zbl 1041.11074
Greither, Cornelius; Kučera, Radan
1
2002
Some cases of Brumer’s conjecture for abelian CM extensions of totally real fields. Zbl 0965.11047
Greither, Cornelius
13
2000
Galois-Cohen-Lenstra heuristics. Zbl 1075.11070
Greither, Cornelius
1
2000
Swan modules and Hilbert-Speiser number fields. Zbl 0941.11044
Greither, Cornelius; Replogle, Daniel R.; Rubin, Karl; Srivastav, Anupam
25
1999
Improving Ramachandra’s and Levesque’s unit index. Zbl 0940.11050
Greither, Cornelius
3
1999
Fitting ideals of class groups of real fields with prime power conductor. Zbl 0926.11085
Cornacchia, Pietro; Greither, Cornelius
19
1998
The structure of some minus class groups, and Chinburg’s third conjecture for abelian fields. Zbl 0919.11072
Greither, Cornelius
6
1998
Hopf algebras, polynomial formal groups, and Raynaud orders. Zbl 1042.14019
Childs, Lindsay; Greither, Cornelius; Moss, David J.; Sauerberg, Jim; Zimmermann, Karl
4
1998
\(p\)-elementary group schemes – constructions, and Raynaud’s theory. Zbl 0983.14032
Greither, C.; Childs, L. N.
4
1998
An equivariant version of an index formula of Fröhlich and McCulloh. Zbl 0909.11049
Greither, Cornelius
2
1998
On normal integral bases in ray class fields over imaginary quadratic fields. Zbl 0866.11064
Greither, Cornelius
5
1997
On a transformation of the Hopf algebra in a Hopf Galois extension. Zbl 0890.16021
Greither, Cornelius
5
1996
On Chinburg’s second conjecture for abelian fields. Zbl 0856.11051
Greither, Cornelius
2
1996
Constructing monogenic Hopf algebras over \(p\)-adic rings of integers. Zbl 0836.16022
Greither, Cornelius
1
1995
On universal norms in \(\mathbb{Z}_ p\)-extensions. Zbl 0833.11051
Greither, Cornelius
9
1994
On relatively invariant circular units and Stickelberger elements. Zbl 0801.11044
Greither, Cornelius
6
1993
Class groups of abelian fields, and the main conjecture. Zbl 0729.11053
Greither, Cornelius
38
1992
Cyclic Galois extensions of commutative rings. Zbl 0788.13003
Greither, Cornelius
20
1992
Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring. Zbl 0737.11038
Greither, C.
18
1992
Cyclic Galois extensions and normal bases. Zbl 0743.11060
Greither, C.
4
1991
Relative integral normal bases in \({\mathbb{Q}}(\zeta_ p)\). Zbl 0718.11053
Greither, Cornelius
6
1990
Unramified Kummer extensions of prime power degree. Zbl 0705.13004
Greither, C.
3
1989
Cyclic Galois extensions and normal bases. Zbl 0706.13009
Greither, Cornelius
2
1989
Galois extensions of prime degree. Zbl 0706.13008
Greither, Cornelius; Miranda, Rick
2
1989
Construction of a Hopf algebra of \({\mathbb{Z}}\)-rank \(n^{\phi (n)+1}\) whose antipode has order 2n. Zbl 0672.16007
Greither, Cornelius
2
1989
Hopf Galois theory for separable field extensions. Zbl 0615.12026
Greither, Cornelius; Pareigis, Bodo
65
1987
A Galois correspondence for radical extensions of fields. Zbl 0607.12015
Greither, C.; Harrison, D. K.
14
1986
A note on seminormal rings and \({\mathbb{A}}^ 1\)-fibrations. Zbl 0602.13001
Greither, Cornelius
4
1986
Forms of the affine line and their genus. Zbl 0576.14028
Greither, Cornelius
1
1986
Zum Kürzungsproblem kommutativer Algebren. Zbl 0553.13005
Greither, Cornelius
3
1983
On the two generator problem for the ideals of a one-dimensional ring. Zbl 0522.13009
Greither, Cornelius
14
1982
Abelsche Galoiserweiterungen von R[X]. Zbl 0509.13003
Greither, Cornelius; Haggenmueller, Rudolf
2
1982
Serre’s problem for one-dimensional ground rings. Zbl 0492.13006
Greither, Cornelius
2
1982
Seminormality, projective algebras, and invertible algebras. Zbl 0478.13003
Greither, Cornelius
9
1981
all top 5

Cited by 258 Authors

27 Greither, Cornelius
20 Ichimura, Humio
15 Byott, Nigel P.
13 Childs, Lindsay N.
10 Kohl, Timothy
10 Kučera, Radan
10 Nickel, Andreas
9 Koch, Alan
8 Nguyen Quang Do, Thong
8 Underwood, Robert G.
7 Burns, David John
7 Crespo Vicente, Teresa
7 Kurihara, Masato
7 Sodaïgui, Bouchaïb
7 Truman, Paul J.
6 Replogle, Daniel R.
5 Barrera-Mora, Fernando
5 Johnston, Henri L. A.
5 Ozaki, Manabu
5 Popescu, Cristian D.
5 Roblot, Xavier-François
5 Villa-Salvador, Gabriel Daniel
5 Wiegand, Roger Allen
4 Albu, Toma
4 Caranti, Andrea
4 Cornacchia, Pietro
4 Kings, Guido
4 Tangedal, Brett A.
3 Belliard, Jean-Robert
3 Buckingham, Paul Richard
3 Dutta, Amartya Kumar
3 Elder, Gove Griffith
3 Flach, Matthias
3 Mazigh, Youness
3 Rio, Anna
3 Sano, Takamichi
3 Seo, Soogil
3 Vela, Montserrat
2 Alabdali, Ali A.
2 Anglès, Bruno
2 Asanuma, Teruo
2 Assim, Jilali
2 Bandini, Andrea
2 Bars Cortina, Francesc
2 Benois, Denis
2 Cobbe, Alessandro
2 de Jeu, Rob
2 Dejou, Gaelle
2 Del Corso, Ilaria
2 Farhat, Maya
2 Fleckinger, Vincent
2 Gupta, Neena
2 Haefner, Jeremy
2 Huber-Klawitter, Annette
2 Jaulent, Jean-François
2 Kawamoto, Fuminori
2 Kim, Jaemoon
2 Kolster, Manfred
2 Komatsu, Keiichi
2 Longhi, Ignazio
2 Miura, Takashi
2 Mizusawa, Yasushi
2 Navilarekallu, Tejaswi
2 Nomura, Jiro
2 Oukhaba, Hassan
2 Paques, Antonio
2 Picavet, Gabriel
2 Richter, Birgit
2 Rump, Wolfgang
2 Ryu, Jado
2 Rzedowski-Calderón, Martha
2 Salguero, Marta
2 Sánchez-Mirafuentes, Marco Antonio
2 Schauenburg, Peter
2 Smith, Barry R.
2 Taleb, Reza
2 Tossici, Dajano
2 Trnková, Veronika
2 Tsang, Cindy
2 Tsuji, Takae
2 Vauclair, David
2 Venjakob, Otmar
2 Viguié, Stéphane
2 Witte, Malte
2 Yanik, Joe
1 Acciaro, Vincenzo
1 Achet, Raphaël
1 Adamus, Elżbieta
1 Agboola, Adebisi
1 Aoki, Miho
1 Atsuta, Mahiro
1 Baker, Andrew J.
1 Bálint, Imre
1 Banaszak, Grzegorz
1 Basarab, Serban A.
1 Beliaeva, Tatiana
1 Betley, Stanislaw
1 Bley, Werner
1 Brewer, James W.
1 Brinkhuis, Jan
...and 158 more Authors
all top 5

Cited in 73 Serials

53 Journal of Algebra
47 Journal of Number Theory
21 Communications in Algebra
17 Journal of Pure and Applied Algebra
15 Journal de Théorie des Nombres de Bordeaux
11 Annales de l’Institut Fourier
11 Transactions of the American Mathematical Society
9 International Journal of Number Theory
8 Journal für die Reine und Angewandte Mathematik
8 Manuscripta Mathematica
8 Proceedings of the Japan Academy. Series A
7 Mathematics of Computation
7 Tokyo Journal of Mathematics
6 Proceedings of the American Mathematical Society
6 Journal of Algebra and its Applications
5 Inventiones Mathematicae
5 Mathematische Annalen
5 Mathematische Zeitschrift
5 Documenta Mathematica
4 Compositio Mathematica
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Acta Arithmetica
3 Functiones et Approximatio. Commentarii Mathematici
3 Glasgow Mathematical Journal
3 Nagoya Mathematical Journal
3 Finite Fields and their Applications
3 Annales Mathématiques du Québec
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Archiv der Mathematik
2 Duke Mathematical Journal
2 Journal of the Mathematical Society of Japan
2 Mathematische Nachrichten
2 \(K\)-Theory
2 Journal of Algebraic Geometry
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 JP Journal of Algebra, Number Theory and Applications
2 Algebra & Number Theory
1 Israel Journal of Mathematics
1 Arkiv för Matematik
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Mathematica Slovaca
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Semigroup Forum
1 Tohoku Mathematical Journal. Second Series
1 Journal of Symbolic Computation
1 Journal of the American Mathematical Society
1 International Journal of Algebra and Computation
1 Linear Algebra and its Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 St. Petersburg Mathematical Journal
1 The New York Journal of Mathematics
1 The Ramanujan Journal
1 Mathematical Journal of Ibaraki University
1 International Journal of Modern Physics C
1 Miscelánea Matemática
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Homotopy and Related Structures
1 Journal of Topology
1 Journal of Commutative Algebra
1 Forum of Mathematics, Sigma
1 Arnold Mathematical Journal
1 Journal of Combinatorial Algebra

Citations by Year