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Author ID: reiner.irving Recent zbMATH articles by "Reiner, Irving"
Published as: Reiner, Irving; Reiner, I.
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 106 Publications since 1945, including 11 Books
2 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 19 Co-Authors with 56 Joint Publications
339 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 3,470 times in 2,967 Documents Cited by Year
Representation theory of finite groups and associative algebras. Zbl 0131.25601
Curtis, Charles W.; Reiner, Irving
1962
Methods of representation theory, with applications to finite groups and orders. Vol. I. Zbl 0469.20001
Curtis, Charles W.; Reiner, Irving
444
1981
Maximal orders. Zbl 0305.16001
Reiner, Irving
430
1975
Methods of representation theory. With applications to finite groups and orders. Vol. II. Zbl 0616.20001
Curtis, Charles W.; Reiner, Irving
181
1987
Maximal orders. Reprint of the 1975 original. Zbl 1024.16008
Reiner, I.
153
2003
Representation theory of finite groups and associative algebras. Reprint of the 1962 original. Zbl 1093.20003
Curtis, Charles W.; Reiner, Irving
105
2006
Methods of representation theory with applications to finite groups and orders. Volume 1. Paperback edition. Zbl 0698.20001
Curtis, Charles W.; Reiner, Irving
103
1990
Representation theory of finite groups and associative algebras. Repr. of the orig., publ. 1962 by John Wiley & Sons Ltd., Paperback ed. Zbl 0634.20001
Curtis, Charles W.; Reiner, Irving
96
1988
Integral representations and diagrams. Zbl 0365.16015
Green, Edward L.; Reiner, Irving
50
1978
Representations of cyclic groups in rings of integers. I. Zbl 0108.03101
Heller, A.; Reiner, Irving
40
1962
Integral representations of cyclic groups of prime order. Zbl 0077.25103
Reiner, Irving
39
1957
On the generators of the symplectic modular group. Zbl 0034.30503
Hua, L. K.; Reiner, Irving
36
1949
A Mayer-Vietoris sequence for class groups. Zbl 0286.12009
Reiner, Irving; Ullom, S.
34
1974
Indecomposable representations. Zbl 0111.03101
Heller, A.; Reiner, Irving
32
1961
Automorphisms of the unimodular group. Zbl 0045.30402
Hua, L. K.; Reiner, Irving
28
1951
Zeta functions of arithmetic orders and Solomon’s conjectures. Zbl 0438.12004
Bushnell, Colin J.; Reiner, Irving
27
1980
Class groups for integral representations of metacyclic groups. Zbl 0248.12010
Galovich, S.; Reiner, Irving; Ullom, S.
22
1972
On the number of matrices with given characteristic polynomial. Zbl 0098.01402
Reiner, Irving
19
1961
A survey of integral representation theory. Zbl 0194.04701
Reiner, Irving
19
1970
A new type of automorphism of the general linear group over a ring. Zbl 0079.03901
Reiner, Irving
15
1957
Normal subgroups of the unimodular group. Zbl 0078.01701
Reiner, Irving
14
1958
Grothendieck groups of orders in semisimple algebras. Zbl 0127.25803
Heller, A.; Reiner, Irving
14
1964
Class groups and Picard groups of orders. Zbl 0297.16005
Fröhlich, A.; Reiner, Irving; Ullom, S.
14
1974
Class groups of integral group rings. Zbl 0253.16023
Reiner, Irving; Ullom, S.
13
1972
Grothendieck groups of integral group rings. Zbl 0136.01801
Heller, A.; Reiner, Irving
12
1965
Representations of cyclic groups in rings of integers. II. Zbl 0119.03004
Heller, A.; Reiner, Irving
11
1963
Relative Grothendieck groups. Zbl 0185.06901
Lam, T. Y.; Reiner, Irving
11
1969
Class groups and Picard groups of group rings and orders. Zbl 0326.16025
Reiner, Irving
11
1976
Integral representations. Topics in integral representation theory by I. Reiner. Integral representations and presentations of finite groups by K. W. Roggenkamp. Zbl 0431.20001
Reiner, Irving; Roggenkamp, Klaus W.
11
1979
Zeta functions of integral representations. Zbl 0444.12009
Reiner, Irving
9
1980
Automorphisms of the general linear group over a principal ideal domain. Zbl 0208.03602
Landin, Joseph; Reiner, Irving
8
1957
Inclusion theorems for congruence subgroups. Zbl 0087.08303
Newman, M.; Reiner, Irving
8
1959
Automorphisms of the two-dimensional general linear group over an Euclidean ring. Zbl 0101.02002
Landin, Joseph; Reiner, Irving
8
1958
Equivalence of representations under extensions of local ground rings. Zbl 0104.02804
Reiner, Irving; Zassenhaus, Hans
8
1961
Automorphisms of the symplectic modular groups. Zbl 0066.01803
Reiner, Irving
7
1955
Real linear characters of the symplectic modular group. Zbl 0066.28004
Reiner, Irving
7
1955
Congruence subgroups of matrix groups. Zbl 0073.01601
Reiner, Irving; Swift, J. D.
7
1956
Relations between integral and modular representations. Zbl 0147.01102
Reiner, Irving
7
1966
Integral representation algebras. Zbl 0147.01201
Reiner, Irving
7
1966
Reduction theorems for relative Grothendieck rings. Zbl 0185.06802
Lam, T. Y.; Reiner, Irving
7
1969
Representation rings. Zbl 0223.20004
Reiner, Irving
7
1967
L-functions of arithmetic orders and asymptotic distribution of ideals. Zbl 0455.12010
Bushnell, Colin J.; Reiner, Irving
7
1981
Functional equations for \(L\)-functions of arithmetic orders. Zbl 0488.12011
Bushnell, Colin J.; Reiner, Irving
6
1981
The integral representation ring of a finite group. Zbl 0133.28502
Reiner, Irving
6
1965
Nilpotent elements in rings of integral representations. Zbl 0133.28503
Reiner, Irving
6
1966
Restriction maps on relative Grothendieck rings. Zbl 0187.29801
Lam, T. Y.; Reiner, Irving
6
1970
Failure of the Krull-Schmidt theorem for integral representations. Zbl 0106.02504
Reiner, Irving
5
1962
On the number of irreducible modular representations of a finite group. Zbl 0126.05703
Reiner, Irving
5
1964
Relative Grothendieck rings. Zbl 0177.04503
Lam, T. Y.; Reiner, Irving
5
1969
Finite generation of Grothendieck rings relative to cyclic subgroups. Zbl 0186.04602
Lam, T. Y.; Reiner, Irving
5
1969
Matrix completions over Dedekind rings. Zbl 0456.15010
Gustafson, William H.; Moore, Marion E.; Reiner, Irving
5
1981
Analytic continuation of partial zeta functions of arithmetic orders. Zbl 0524.12006
Bushnell, Colin J.; Reiner, Irving
4
1984
Invariants of integral representations. Zbl 0362.20002
Reiner, Irving
4
1978
Symplectic modular complements. Zbl 0058.02101
Reiner, Irving
4
1954
Subgroups of the unimodular group. Zbl 0097.01603
Reiner, Irving
4
1961
The Krull-Schmidt theorem for integral group representations. Zbl 0099.01504
Reiner, Irving
4
1961
On the class number of representations of an order. Zbl 0107.03401
Reiner, Irving
4
1959
Indecomposable representations of non-cyclic groups. Zbl 0108.03102
Reiner, Irving
4
1962
Module extensions and blocks. Zbl 0149.27404
Reiner, Irving
4
1967
Modular representation algebras. Zbl 0149.27502
Hannula, T. A.; Ralley, T. G.; Reiner, Irving
4
1967
Solomon’s conjectures and the local functional equation for zeta functions of orders. Zbl 0444.12010
Bushnell, Colin J.; Reiner, Irving
4
1980
The prime ideal theorem in non-commutative arithmetic. Zbl 0506.12015
Bushnell, Colin J.; Reiner, Irving
3
1982
Maximal sets of involutions. Zbl 0066.01802
Reiner, Irving
3
1955
Maschke modules over Dedekind rings. Zbl 0075.24302
Reiner, Irving
3
1956
The Schur index in the theory of group representation. Zbl 0098.02102
Reiner, Irving
3
1961
The matrix congruence \(X^ 2 \equiv I (\mod p^ a)\). Zbl 0115.04004
Reiner, Irving
3
1960
An excision theorem for Grothendieck rings. Zbl 0187.29802
Lam, T.-Y.; Reiner, Irving
3
1970
Remarks on class groups of integral group rings. Zbl 0305.20007
Reiner, Irving; Ullom, S.
3
1974
Automorphisms of the projective unimodular group. Zbl 0048.25701
Hua, L. K.; Reiner, Irving
3
1952
A proof of the normal basis theorem. Zbl 0339.12102
Berger, T. R.; Reiner, I.
2
1975
Unimodular complements. Zbl 0071.01403
Reiner, Irving
2
1956
Automorphisms of the Gaussian unimodular group. Zbl 0083.02005
Landin, Joseph; Reiner, Irving
2
1958
Behavior of integral group representations under ground ring extension. Zbl 0095.02101
Reiner, Irving
2
1960
The nonuniqueness of irreducible constituents of integral group representations. Zbl 0099.01503
Reiner, Irving
2
1960
On groups with finitely many indecomposable integral representations. Zbl 0106.02503
Heller, A.; Reiner, Irving
2
1962
Class groups of orders and a Mayer-Vietoris sequence. Zbl 0323.12014
Reiner, I.; Ullom, S.
2
1972
Projective class groups of symmetric and alternating groups. Zbl 0327.20003
Reiner, Irving
2
1975
Functional equations for Hurwitz series and partial zeta functions of orders. Zbl 0575.12008
Bushnell, Colin J.; Reiner, Irving
2
1986
New asymptotic formulas for the distribution of left ideals of orders. Zbl 0575.12009
Bushnell, Colin J.; Reiner, Irving
2
1986
Zeta functions and composition factors for arithmetic orders. Zbl 0613.12010
Bushnell, Colin J.; Reiner, Irving
2
1987
Lifting isomorphisms of modules. Zbl 0417.16002
Reiner, Irving
2
1979
Left-vs-right zeta-functions. Zbl 0537.12010
Bushnell, Colin J.; Reiner, Irving
1
1984
Orders and their applications. Proceedings of a Conference held in Oberwolfach, West Germany, June 3-9, 1984. Zbl 0561.00005
1
1985
Integral representations of cyclic groups of order \(p^2\). Zbl 0341.20004
Reiner, Irving
1
1976
A theorem on continued fractions. Zbl 0081.03401
Reiner, Irving
1
1958
Extensions of irreducible modules. Zbl 0117.02301
Reiner, Irving
1
1963
Completion of primitive matrices. Zbl 0142.00201
Reiner, Irving
1
1966
Locally free class groups of orders. Zbl 0321.16005
Reiner, Irving
1
1975
Integral representations of finite groups. Zbl 0373.20011
Reiner, Irving
1
1978
Indecomposable integral representations of cyclic p-groups. Zbl 0375.20005
Reiner, Irving
1
1978
An overview of integral representation theory. Zbl 0441.16005
Reiner, Irving
1
1980
Representation theory of finite groups and associative algebras. Reprint of the 1962 original. Zbl 1093.20003
Curtis, Charles W.; Reiner, Irving
105
2006
Maximal orders. Reprint of the 1975 original. Zbl 1024.16008
Reiner, I.
153
2003
Methods of representation theory with applications to finite groups and orders. Volume 1. Paperback edition. Zbl 0698.20001
Curtis, Charles W.; Reiner, Irving
103
1990
Representation theory of finite groups and associative algebras. Repr. of the orig., publ. 1962 by John Wiley & Sons Ltd., Paperback ed. Zbl 0634.20001
Curtis, Charles W.; Reiner, Irving
96
1988
Methods of representation theory. With applications to finite groups and orders. Vol. II. Zbl 0616.20001
Curtis, Charles W.; Reiner, Irving
181
1987
Zeta functions and composition factors for arithmetic orders. Zbl 0613.12010
Bushnell, Colin J.; Reiner, Irving
2
1987
Functional equations for Hurwitz series and partial zeta functions of orders. Zbl 0575.12008
Bushnell, Colin J.; Reiner, Irving
2
1986
New asymptotic formulas for the distribution of left ideals of orders. Zbl 0575.12009
Bushnell, Colin J.; Reiner, Irving
2
1986
Orders and their applications. Proceedings of a Conference held in Oberwolfach, West Germany, June 3-9, 1984. Zbl 0561.00005
1
1985
Analytic continuation of partial zeta functions of arithmetic orders. Zbl 0524.12006
Bushnell, Colin J.; Reiner, Irving
4
1984
Left-vs-right zeta-functions. Zbl 0537.12010
Bushnell, Colin J.; Reiner, Irving
1
1984
The prime ideal theorem in non-commutative arithmetic. Zbl 0506.12015
Bushnell, Colin J.; Reiner, Irving
3
1982
Methods of representation theory, with applications to finite groups and orders. Vol. I. Zbl 0469.20001
Curtis, Charles W.; Reiner, Irving
444
1981
L-functions of arithmetic orders and asymptotic distribution of ideals. Zbl 0455.12010
Bushnell, Colin J.; Reiner, Irving
7
1981
Functional equations for \(L\)-functions of arithmetic orders. Zbl 0488.12011
Bushnell, Colin J.; Reiner, Irving
6
1981
Matrix completions over Dedekind rings. Zbl 0456.15010
Gustafson, William H.; Moore, Marion E.; Reiner, Irving
5
1981
Zeta functions of arithmetic orders and Solomon’s conjectures. Zbl 0438.12004
Bushnell, Colin J.; Reiner, Irving
27
1980
Zeta functions of integral representations. Zbl 0444.12009
Reiner, Irving
9
1980
Solomon’s conjectures and the local functional equation for zeta functions of orders. Zbl 0444.12010
Bushnell, Colin J.; Reiner, Irving
4
1980
An overview of integral representation theory. Zbl 0441.16005
Reiner, Irving
1
1980
Integral representations. Topics in integral representation theory by I. Reiner. Integral representations and presentations of finite groups by K. W. Roggenkamp. Zbl 0431.20001
Reiner, Irving; Roggenkamp, Klaus W.
11
1979
Lifting isomorphisms of modules. Zbl 0417.16002
Reiner, Irving
2
1979
Integral representations and diagrams. Zbl 0365.16015
Green, Edward L.; Reiner, Irving
50
1978
Invariants of integral representations. Zbl 0362.20002
Reiner, Irving
4
1978
Integral representations of finite groups. Zbl 0373.20011
Reiner, Irving
1
1978
Indecomposable integral representations of cyclic p-groups. Zbl 0375.20005
Reiner, Irving
1
1978
Class groups and Picard groups of group rings and orders. Zbl 0326.16025
Reiner, Irving
11
1976
Integral representations of cyclic groups of order \(p^2\). Zbl 0341.20004
Reiner, Irving
1
1976
Maximal orders. Zbl 0305.16001
Reiner, Irving
430
1975
A proof of the normal basis theorem. Zbl 0339.12102
Berger, T. R.; Reiner, I.
2
1975
Projective class groups of symmetric and alternating groups. Zbl 0327.20003
Reiner, Irving
2
1975
Locally free class groups of orders. Zbl 0321.16005
Reiner, Irving
1
1975
A Mayer-Vietoris sequence for class groups. Zbl 0286.12009
Reiner, Irving; Ullom, S.
34
1974
Class groups and Picard groups of orders. Zbl 0297.16005
Fröhlich, A.; Reiner, Irving; Ullom, S.
14
1974
Remarks on class groups of integral group rings. Zbl 0305.20007
Reiner, Irving; Ullom, S.
3
1974
Class groups for integral representations of metacyclic groups. Zbl 0248.12010
Galovich, S.; Reiner, Irving; Ullom, S.
22
1972
Class groups of integral group rings. Zbl 0253.16023
Reiner, Irving; Ullom, S.
13
1972
Class groups of orders and a Mayer-Vietoris sequence. Zbl 0323.12014
Reiner, I.; Ullom, S.
2
1972
A survey of integral representation theory. Zbl 0194.04701
Reiner, Irving
19
1970
Restriction maps on relative Grothendieck rings. Zbl 0187.29801
Lam, T. Y.; Reiner, Irving
6
1970
An excision theorem for Grothendieck rings. Zbl 0187.29802
Lam, T.-Y.; Reiner, Irving
3
1970
Relative Grothendieck groups. Zbl 0185.06901
Lam, T. Y.; Reiner, Irving
11
1969
Reduction theorems for relative Grothendieck rings. Zbl 0185.06802
Lam, T. Y.; Reiner, Irving
7
1969
Relative Grothendieck rings. Zbl 0177.04503
Lam, T. Y.; Reiner, Irving
5
1969
Finite generation of Grothendieck rings relative to cyclic subgroups. Zbl 0186.04602
Lam, T. Y.; Reiner, Irving
5
1969
Representation rings. Zbl 0223.20004
Reiner, Irving
7
1967
Module extensions and blocks. Zbl 0149.27404
Reiner, Irving
4
1967
Modular representation algebras. Zbl 0149.27502
Hannula, T. A.; Ralley, T. G.; Reiner, Irving
4
1967
Relations between integral and modular representations. Zbl 0147.01102
Reiner, Irving
7
1966
Integral representation algebras. Zbl 0147.01201
Reiner, Irving
7
1966
Nilpotent elements in rings of integral representations. Zbl 0133.28503
Reiner, Irving
6
1966
Completion of primitive matrices. Zbl 0142.00201
Reiner, Irving
1
1966
Grothendieck groups of integral group rings. Zbl 0136.01801
Heller, A.; Reiner, Irving
12
1965
The integral representation ring of a finite group. Zbl 0133.28502
Reiner, Irving
6
1965
Grothendieck groups of orders in semisimple algebras. Zbl 0127.25803
Heller, A.; Reiner, Irving
14
1964
On the number of irreducible modular representations of a finite group. Zbl 0126.05703
Reiner, Irving
5
1964
Representations of cyclic groups in rings of integers. II. Zbl 0119.03004
Heller, A.; Reiner, Irving
11
1963
Extensions of irreducible modules. Zbl 0117.02301
Reiner, Irving
1
1963
Representation theory of finite groups and associative algebras. Zbl 0131.25601
Curtis, Charles W.; Reiner, Irving
1962
Representations of cyclic groups in rings of integers. I. Zbl 0108.03101
Heller, A.; Reiner, Irving
40
1962
Failure of the Krull-Schmidt theorem for integral representations. Zbl 0106.02504
Reiner, Irving
5
1962
Indecomposable representations of non-cyclic groups. Zbl 0108.03102
Reiner, Irving
4
1962
On groups with finitely many indecomposable integral representations. Zbl 0106.02503
Heller, A.; Reiner, Irving
2
1962
Indecomposable representations. Zbl 0111.03101
Heller, A.; Reiner, Irving
32
1961
On the number of matrices with given characteristic polynomial. Zbl 0098.01402
Reiner, Irving
19
1961
Equivalence of representations under extensions of local ground rings. Zbl 0104.02804
Reiner, Irving; Zassenhaus, Hans
8
1961
Subgroups of the unimodular group. Zbl 0097.01603
Reiner, Irving
4
1961
The Krull-Schmidt theorem for integral group representations. Zbl 0099.01504
Reiner, Irving
4
1961
The Schur index in the theory of group representation. Zbl 0098.02102
Reiner, Irving
3
1961
The matrix congruence \(X^ 2 \equiv I (\mod p^ a)\). Zbl 0115.04004
Reiner, Irving
3
1960
Behavior of integral group representations under ground ring extension. Zbl 0095.02101
Reiner, Irving
2
1960
The nonuniqueness of irreducible constituents of integral group representations. Zbl 0099.01503
Reiner, Irving
2
1960
Inclusion theorems for congruence subgroups. Zbl 0087.08303
Newman, M.; Reiner, Irving
8
1959
On the class number of representations of an order. Zbl 0107.03401
Reiner, Irving
4
1959
Normal subgroups of the unimodular group. Zbl 0078.01701
Reiner, Irving
14
1958
Automorphisms of the two-dimensional general linear group over an Euclidean ring. Zbl 0101.02002
Landin, Joseph; Reiner, Irving
8
1958
Automorphisms of the Gaussian unimodular group. Zbl 0083.02005
Landin, Joseph; Reiner, Irving
2
1958
A theorem on continued fractions. Zbl 0081.03401
Reiner, Irving
1
1958
Integral representations of cyclic groups of prime order. Zbl 0077.25103
Reiner, Irving
39
1957
A new type of automorphism of the general linear group over a ring. Zbl 0079.03901
Reiner, Irving
15
1957
Automorphisms of the general linear group over a principal ideal domain. Zbl 0208.03602
Landin, Joseph; Reiner, Irving
8
1957
Congruence subgroups of matrix groups. Zbl 0073.01601
Reiner, Irving; Swift, J. D.
7
1956
Maschke modules over Dedekind rings. Zbl 0075.24302
Reiner, Irving
3
1956
Unimodular complements. Zbl 0071.01403
Reiner, Irving
2
1956
Automorphisms of the symplectic modular groups. Zbl 0066.01803
Reiner, Irving
7
1955
Real linear characters of the symplectic modular group. Zbl 0066.28004
Reiner, Irving
7
1955
Maximal sets of involutions. Zbl 0066.01802
Reiner, Irving
3
1955
Symplectic modular complements. Zbl 0058.02101
Reiner, Irving
4
1954
Automorphisms of the projective unimodular group. Zbl 0048.25701
Hua, L. K.; Reiner, Irving
3
1952
Automorphisms of the unimodular group. Zbl 0045.30402
Hua, L. K.; Reiner, Irving
28
1951
On the generators of the symplectic modular group. Zbl 0034.30503
Hua, L. K.; Reiner, Irving
36
1949
all top 5

Cited by 2,692 Authors

26 Reiner, Irving
15 Zalesski, Alexandre Efimovich
14 Carlson, Jon Frederick
14 Nebe, Gabriele
14 Roggenkamp, Klaus W.
13 Cossey, John
13 Terwilliger, Paul M.
12 Bleher, Frauke M.
12 Dress, Andreas W. M.
12 Guralnick, Robert Michael
12 Haefner, Jeremy
12 Levy, Lawrence S.
12 Nickel, Andreas
12 Rump, Wolfgang
11 del Río, Angel
11 Olteanu, Gabriela
11 Zarkhin, Yuriĭ Gennad’evich
10 Bakshi, Gurmeet K.
10 Giambruno, Antonio
10 Johnston, Henri L. A.
10 Kleshchev, Alexander S.
10 Newman, Morris
10 Oliver, Bob
10 Scott, Leonard L.
10 Sehgal, Sudarshan Kumar
10 Sodaïgui, Bouchaïb
10 van Oystaeyen, Freddy
9 Bryce, Robert Aitken
9 Drozd, Yuriĭ Anatoliĭovych
9 Fein, Burton
9 Geck, Meinolf
9 Janusz, Gerald J.
9 Kondrat’ev, Anatoliĭ Semenovich
9 Külshammer, Burkhard
9 Martínez López, Consuelo
8 Aljadeff, Eli
8 Bley, Werner
8 Braun, Amiram
8 Bryant, Roger M.
8 Burns, David John
8 Chinburg, Ted
8 DeMeyer, Frank R.
8 Gudivok, P. M.
8 Gustafson, William H.
8 Iyama, Osamu
8 Jespers, Eric
8 Kleinert, Ernst
8 König, Steffen
8 Lam, Tsit-Yuen
8 Linowitz, Benjamin
8 Ritter, Jürgen
8 Solleveld, Maarten
8 Sonn, Jack
8 Wales, David B.
8 Yu, Chia-Fu
7 Benson, David John
7 Berger, Thomas R.
7 Brussel, Eric S.
7 Conlon, S. B.
7 First, Uriya A.
7 González, Santos
7 Hofmann, Tommy
7 Ingalls, Colin
7 Ivanyos, Gábor
7 Kuku, Aderemi Oluyomi
7 Michler, Gerhard O.
7 Putcha, Mohan S.
7 Replogle, Daniel R.
7 Schacher, Murray M.
7 Simson, Daniel
7 Steinberg, Benjamin
7 Theohari-Apostolidi, Th.
7 Toffalori, Carlo
7 Van den Bergh, Michel
7 Wadsworth, Adrian R.
7 Weiss, Alfred R.
7 Wiegand, Roger Allen
7 Zalesskii, Pavel
6 Benkart, Georgia McClure
6 Bouc, Serge
6 Chipchakov, Ivan D.
6 Curtin, Brian
6 Dixon, John D.
6 Douglass, J. Matthew
6 Gow, Roderick
6 Hartley, Brian
6 Herman, Allen
6 Hu, Jun
6 Isaacs, I. Martin
6 Kupisch, Herbert
6 Kurdachenko, Leonid Andriĭovych
6 MacLean, Mark S.
6 Malinin, Dmitry A.
6 Margolis, Leo
6 Mason, Geoffrey
6 Nauwelaerts, Erna
6 Papikian, Mihran
6 Saltman, David J.
6 Solomon, Louis
6 Tiep Pham Huu
...and 2,592 more Authors
all top 5

Cited in 283 Serials

639 Journal of Algebra
144 Communications in Algebra
140 Transactions of the American Mathematical Society
139 Journal of Pure and Applied Algebra
126 Mathematische Zeitschrift
102 Proceedings of the American Mathematical Society
92 Journal of Number Theory
61 Linear Algebra and its Applications
55 Advances in Mathematics
52 Inventiones Mathematicae
50 Mathematische Annalen
47 Israel Journal of Mathematics
39 Manuscripta Mathematica
38 Archiv der Mathematik
31 Algebras and Representation Theory
30 Mathematical Proceedings of the Cambridge Philosophical Society
24 Bulletin of the Australian Mathematical Society
24 Journal of Algebraic Combinatorics
22 Compositio Mathematica
22 Bulletin of the American Mathematical Society
21 Duke Mathematical Journal
20 Mathematics of Computation
20 Journal de Théorie des Nombres de Bordeaux
20 Journal of the Australian Mathematical Society
20 Journal of Algebra and its Applications
19 Journal of Combinatorial Theory. Series A
17 Annales de l’Institut Fourier
17 \(K\)-Theory
17 Representation Theory
16 Discrete Mathematics
16 Journal of Mathematical Sciences (New York)
15 International Journal of Number Theory
14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
14 Journal of Soviet Mathematics
13 Linear and Multilinear Algebra
13 Ukrainian Mathematical Journal
13 Applicable Algebra in Engineering, Communication and Computing
13 Journal of Group Theory
12 Algebra and Logic
12 Topology and its Applications
12 European Journal of Combinatorics
12 Finite Fields and their Applications
11 Mathematical Notes
11 Rendiconti del Seminario Matematico della Università di Padova
10 Glasgow Mathematical Journal
10 Journal of the London Mathematical Society. Second Series
10 Proceedings of the Edinburgh Mathematical Society. Series II
10 Siberian Mathematical Journal
10 Transformation Groups
10 Algebraic & Geometric Topology
9 Communications in Mathematical Physics
9 Rocky Mountain Journal of Mathematics
9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
9 Journal für die Reine und Angewandte Mathematik
9 Memoirs of the American Mathematical Society
9 Tôhoku Mathematical Journal. Second Series
9 Journal of Symbolic Computation
9 Journal of the American Mathematical Society
8 Mathematika
8 Nagoya Mathematical Journal
8 Bulletin of the American Mathematical Society. New Series
8 Documenta Mathematica
7 Nuclear Physics. B
7 Acta Arithmetica
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Geometriae Dedicata
7 Monatshefte für Mathematik
7 Semigroup Forum
7 Journal of the European Mathematical Society (JEMS)
7 Proceedings of the Japan Academy
7 Proceedings of the Steklov Institute of Mathematics
7 Algebra & Number Theory
7 Forum of Mathematics, Sigma
6 Bulletin of the London Mathematical Society
6 Publications Mathématiques
6 Proceedings of the London Mathematical Society. Third Series
6 Designs, Codes and Cryptography
6 Selecta Mathematica. New Series
6 JP Journal of Algebra, Number Theory and Applications
5 Reports on Mathematical Physics
5 Acta Mathematica
5 Canadian Journal of Mathematics
5 Journal of Combinatorial Theory. Series B
5 Chinese Annals of Mathematics. Series B
5 Forum Mathematicum
5 Algebra Colloquium
5 Annals of Mathematics. Second Series
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Asian-European Journal of Mathematics
5 International Journal of Group Theory
5 European Journal of Mathematics
4 Indian Journal of Pure & Applied Mathematics
4 Beiträge zur Algebra und Geometrie
4 Functiones et Approximatio. Commentarii Mathematici
4 Michigan Mathematical Journal
4 Osaka Journal of Mathematics
4 Pacific Journal of Mathematics
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Acta Mathematica Sinica. New Series
...and 183 more Serials
all top 5

Cited in 54 Fields

1,353 Group theory and generalizations (20-XX)
953 Associative rings and algebras (16-XX)
640 Number theory (11-XX)
278 Algebraic geometry (14-XX)
222 Combinatorics (05-XX)
156 Commutative algebra (13-XX)
143 Nonassociative rings and algebras (17-XX)
137 Category theory; homological algebra (18-XX)
119 Linear and multilinear algebra; matrix theory (15-XX)
113 Manifolds and cell complexes (57-XX)
111 \(K\)-theory (19-XX)
87 Topological groups, Lie groups (22-XX)
79 Field theory and polynomials (12-XX)
78 Algebraic topology (55-XX)
49 Quantum theory (81-XX)
47 Information and communication theory, circuits (94-XX)
37 Computer science (68-XX)
32 Differential geometry (53-XX)
29 Mathematical logic and foundations (03-XX)
29 Dynamical systems and ergodic theory (37-XX)
24 Geometry (51-XX)
20 Functional analysis (46-XX)
19 Several complex variables and analytic spaces (32-XX)
19 Abstract harmonic analysis (43-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
17 Convex and discrete geometry (52-XX)
13 Special functions (33-XX)
13 Probability theory and stochastic processes (60-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Functions of a complex variable (30-XX)
11 Numerical analysis (65-XX)
7 Operator theory (47-XX)
7 General topology (54-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 General algebraic systems (08-XX)
5 Partial differential equations (35-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Ordinary differential equations (34-XX)
3 Statistics (62-XX)
3 Mechanics of particles and systems (70-XX)
3 Mechanics of deformable solids (74-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Relativity and gravitational theory (83-XX)
2 Systems theory; control (93-XX)
1 Real functions (26-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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