Edit Profile (opens in new tab) Reiner, Irving Co-Author Distance Author ID: 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 337 Co-Co-Authors all top 5 Co-Authors 51 single-authored 15 Bushnell, Colin John 7 Lam, Tsit-Yuen 7 Ullom, Stephen V. 6 Curtis, Charles W. 6 Heller, Alex 3 Hua, Luogeng 3 Landin, Joseph 2 Roggenkamp, Klaus W. 1 Berger, Thomas R. 1 Fröhlich, Albrecht 1 Green, Edward L. 1 Gustafson, William H. 1 Hannula, T. A. 1 Janusz, Gerald J. 1 Moore, Marion E. 1 Newman, Morris 1 Ralley, Thomas G. 1 Swift, J. Dean 1 Wigner, David 1 Zassenhaus, Hans Julius all top 5 Serials 13 Transactions of the American Mathematical Society 11 Proceedings of the American Mathematical Society 8 Michigan Mathematical Journal 6 Illinois Journal of Mathematics 6 Bulletin of the American Mathematical Society 5 Journal of Algebra 5 Journal für die Reine und Angewandte Mathematik 4 American Mathematical Monthly 4 Mathematische Zeitschrift 4 Annals of Mathematics. Second Series 3 Canadian Journal of Mathematics 2 Linear and Multilinear Algebra 2 Pacific Journal of Mathematics 2 Lecture Notes in Mathematics 1 Communications in Algebra 1 Mathematical Notes 1 Mathematika 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Bulletin of the American Mathematical Society. New Series 1 London Mathematical Society Monographs 1 London Mathematical Society Monographs. New Series 1 Proceedings of Symposia in Pure Mathematics 1 Regional Conference Series in Mathematics all top 5 Fields 45 Associative rings and algebras (16-XX) 35 Group theory and generalizations (20-XX) 30 Number theory (11-XX) 4 History and biography (01-XX) 4 Category theory; homological algebra (18-XX) 3 Commutative algebra (13-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 4,155 times in 3,509 Documents Cited by ▼ Year ▼ Representation theory of finite groups and associative algebras. Zbl 0131.25601 Curtis, Charles W.; Reiner, Irving 1,325 1962 Methods of representation theory, with applications to finite groups and orders. Vol. I. Zbl 0469.20001 Curtis, Charles W.; Reiner, Irving 729 1981 Maximal orders. Zbl 0305.16001 Reiner, Irving 460 1975 Methods of representation theory. With applications to finite groups and orders. Vol. II. Zbl 0616.20001 Curtis, Charles W.; Reiner, Irving 289 1987 Maximal orders. Reprint of the 1975 original. Zbl 1024.16008 Reiner, I. 187 2003 Methods of representation theory with applications to finite groups and orders. Volume 1. Paperback edition. Zbl 0698.20001 Curtis, Charles W.; Reiner, Irving 171 1990 Representation theory of finite groups and associative algebras. Reprint of the 1962 original. Zbl 1093.20003 Curtis, Charles W.; Reiner, Irving 118 2006 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 104 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 43 1962 Integral representations of cyclic groups of prime order. Zbl 0077.25103 Reiner, Irving 40 1957 A Mayer-Vietoris sequence for class groups. Zbl 0286.12009 Reiner, Irving; Ullom, S. 35 1974 On the generators of the symplectic modular group. Zbl 0034.30503 Hua, L. K.; Reiner, Irving 35 1949 Indecomposable representations. Zbl 0111.03101 Heller, A.; Reiner, Irving 32 1961 Automorphisms of the unimodular group. Zbl 0045.30402 Hua, L. K.; Reiner, Irving 31 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 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. 21 1979 On the number of matrices with given characteristic polynomial. Zbl 0098.01402 Reiner, Irving 20 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 16 1957 Class groups and Picard groups of orders. Zbl 0297.16005 Fröhlich, A.; Reiner, Irving; Ullom, S. 15 1974 Normal subgroups of the unimodular group. Zbl 0078.01701 Reiner, Irving 14 1958 Class groups of integral group rings. Zbl 0253.16023 Reiner, Irving; Ullom, S. 14 1972 Grothendieck groups of orders in semisimple algebras. Zbl 0127.25803 Heller, A.; Reiner, Irving 14 1964 Representations of cyclic groups in rings of integers. II. Zbl 0119.03004 Heller, A.; Reiner, Irving 13 1963 Class groups and Picard groups of group rings and orders. Zbl 0326.16025 Reiner, Irving 13 1976 Grothendieck groups of integral group rings. Zbl 0136.01801 Heller, A.; Reiner, Irving 13 1965 Relative Grothendieck groups. Zbl 0185.06901 Lam, T. Y.; Reiner, Irving 12 1969 Automorphisms of the general linear group over a principal ideal domain. Zbl 0208.03602 Landin, Joseph; Reiner, Irving 9 1957 Zeta functions of integral representations. Zbl 0444.12009 Reiner, Irving 9 1980 Automorphisms of the two-dimensional general linear group over an Euclidean ring. Zbl 0101.02002 Landin, Joseph; Reiner, Irving 8 1958 Relations between integral and modular representations. Zbl 0147.01102 Reiner, Irving 8 1966 Integral representation algebras. Zbl 0147.01201 Reiner, Irving 8 1966 Inclusion theorems for congruence subgroups. Zbl 0087.08303 Newman, M.; Reiner, Irving 8 1959 Equivalence of representations under extensions of local ground rings. Zbl 0104.02804 Reiner, Irving; Zassenhaus, Hans 8 1961 Reduction theorems for relative Grothendieck rings. Zbl 0185.06802 Lam, T. Y.; Reiner, Irving 7 1969 Congruence subgroups of matrix groups. Zbl 0073.01601 Reiner, Irving; Swift, J. D. 7 1956 Representation rings. Zbl 0223.20004 Reiner, Irving 7 1967 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 The integral representation ring of a finite group. Zbl 0133.28502 Reiner, Irving 7 1965 Nilpotent elements in rings of integral representations. Zbl 0133.28503 Reiner, Irving 7 1966 L-functions of arithmetic orders and asymptotic distribution of ideals. Zbl 0455.12010 Bushnell, Colin J.; Reiner, Irving 7 1981 On the number of irreducible modular representations of a finite group. Zbl 0126.05703 Reiner, Irving 6 1964 Functional equations for \(L\)-functions of arithmetic orders. Zbl 0488.12011 Bushnell, Colin J.; Reiner, Irving 6 1981 Remarks on class groups of integral group rings. Zbl 0305.20007 Reiner, Irving; Ullom, S. 6 1974 Matrix completions over Dedekind rings. Zbl 0456.15010 Gustafson, William H.; Moore, Marion E.; Reiner, Irving 6 1981 Relative Grothendieck rings. Zbl 0177.04503 Lam, T. Y.; Reiner, Irving 5 1969 Failure of the Krull-Schmidt theorem for integral representations. Zbl 0106.02504 Reiner, Irving 5 1962 Restriction maps on relative Grothendieck rings. Zbl 0187.29801 Lam, T. Y.; Reiner, Irving 5 1970 Finite generation of Grothendieck rings relative to cyclic subgroups. Zbl 0186.04602 Lam, T. Y.; Reiner, Irving 5 1969 Symplectic modular complements. Zbl 0058.02101 Reiner, Irving 4 1954 Subgroups of the unimodular group. Zbl 0097.01603 Reiner, Irving 4 1961 The Schur index in the theory of group representation. Zbl 0098.02102 Reiner, Irving 4 1961 On the class number of representations of an order. Zbl 0107.03401 Reiner, Irving 4 1959 Analytic continuation of partial zeta functions of arithmetic orders. Zbl 0524.12006 Bushnell, Colin J.; Reiner, Irving 4 1984 The Krull-Schmidt theorem for integral group representations. Zbl 0099.01504 Reiner, Irving 4 1961 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 Invariants of integral representations. Zbl 0362.20002 Reiner, Irving 4 1978 Solomon’s conjectures and the local functional equation for zeta functions of orders. Zbl 0444.12010 Bushnell, Colin J.; Reiner, Irving 4 1980 Unimodular complements. Zbl 0071.01403 Reiner, Irving 3 1956 Projective class groups of symmetric and alternating groups. Zbl 0327.20003 Reiner, Irving 3 1975 Automorphisms of the projective unimodular group. Zbl 0048.25701 Hua, L. K.; Reiner, Irving 3 1952 Maximal sets of involutions. Zbl 0066.01802 Reiner, Irving 3 1955 Maschke modules over Dedekind rings. Zbl 0075.24302 Reiner, Irving 3 1956 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 The prime ideal theorem in non-commutative arithmetic. Zbl 0506.12015 Bushnell, Colin J.; Reiner, Irving 3 1982 Class groups of orders and a Mayer-Vietoris sequence. Zbl 0323.12014 Reiner, I.; Ullom, S. 2 1972 A proof of the normal basis theorem. Zbl 0339.12102 Berger, T. R.; Reiner, I. 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 Automorphisms of the Gaussian unimodular group. Zbl 0083.02005 Landin, Joseph; Reiner, Irving 2 1958 Restriction of representations over fields of characteristic p. Zbl 0247.20010 Lam, T. Y.; Reiner, Irving; Wigner, David 2 1971 The nonuniqueness of irreducible constituents of integral group representations. Zbl 0099.01503 Reiner, Irving 2 1960 Behavior of integral group representations under ground ring extension. Zbl 0095.02101 Reiner, Irving 2 1960 On groups with finitely many indecomposable integral representations. Zbl 0106.02503 Heller, A.; Reiner, Irving 2 1962 Lifting isomorphisms of modules. Zbl 0417.16002 Reiner, Irving 2 1979 Zeta functions and composition factors for arithmetic orders. Zbl 0613.12010 Bushnell, Colin J.; Reiner, Irving 2 1987 Integral representations of cyclic groups of order \(p^2\). Zbl 0341.20004 Reiner, Irving 1 1976 Orders and their applications. Proceedings of a Conference held in Oberwolfach, West Germany, June 3-9, 1984. Zbl 0561.00005 1 1985 A theorem on continued fractions. Zbl 0081.03401 Reiner, Irving 1 1958 Completion of primitive matrices. Zbl 0142.00201 Reiner, Irving 1 1966 Zeta-functions of orders. Zbl 0488.12010 Bushnell, Colin J.; Reiner, Irving 1 1981 Left-vs-right zeta-functions. Zbl 0537.12010 Bushnell, Colin J.; Reiner, Irving 1 1984 Locally free class groups of orders. Zbl 0321.16005 Reiner, Irving 1 1975 Extensions of irreducible modules. Zbl 0117.02301 Reiner, Irving 1 1963 Integral representations: Genus, K-theory and class groups. Zbl 0396.16012 Reiner, Irving 1 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 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 118 2006 Maximal orders. Reprint of the 1975 original. Zbl 1024.16008 Reiner, I. 187 2003 Methods of representation theory with applications to finite groups and orders. Volume 1. Paperback edition. Zbl 0698.20001 Curtis, Charles W.; Reiner, Irving 171 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 104 1988 Methods of representation theory. With applications to finite groups and orders. Vol. II. Zbl 0616.20001 Curtis, Charles W.; Reiner, Irving 289 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 729 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 6 1981 Zeta-functions of orders. Zbl 0488.12010 Bushnell, Colin J.; Reiner, Irving 1 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. 21 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: Genus, K-theory and class groups. Zbl 0396.16012 Reiner, Irving 1 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 13 1976 Integral representations of cyclic groups of order \(p^2\). Zbl 0341.20004 Reiner, Irving 1 1976 Maximal orders. Zbl 0305.16001 Reiner, Irving 460 1975 Projective class groups of symmetric and alternating groups. Zbl 0327.20003 Reiner, Irving 3 1975 A proof of the normal basis theorem. Zbl 0339.12102 Berger, T. R.; Reiner, I. 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. 35 1974 Class groups and Picard groups of orders. Zbl 0297.16005 Fröhlich, A.; Reiner, Irving; Ullom, S. 15 1974 Remarks on class groups of integral group rings. Zbl 0305.20007 Reiner, Irving; Ullom, S. 6 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. 14 1972 Class groups of orders and a Mayer-Vietoris sequence. Zbl 0323.12014 Reiner, I.; Ullom, S. 2 1972 Restriction of representations over fields of characteristic p. Zbl 0247.20010 Lam, T. Y.; Reiner, Irving; Wigner, David 2 1971 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 5 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 12 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 8 1966 Integral representation algebras. Zbl 0147.01201 Reiner, Irving 8 1966 Nilpotent elements in rings of integral representations. Zbl 0133.28503 Reiner, Irving 7 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 13 1965 The integral representation ring of a finite group. Zbl 0133.28502 Reiner, Irving 7 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 6 1964 Representations of cyclic groups in rings of integers. II. Zbl 0119.03004 Heller, A.; Reiner, Irving 13 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 1,325 1962 Representations of cyclic groups in rings of integers. I. Zbl 0108.03101 Heller, A.; Reiner, Irving 43 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 20 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 Schur index in the theory of group representation. Zbl 0098.02102 Reiner, Irving 4 1961 The Krull-Schmidt theorem for integral group representations. Zbl 0099.01504 Reiner, Irving 4 1961 The matrix congruence \(X^ 2 \equiv I (\mod p^ a)\). Zbl 0115.04004 Reiner, Irving 3 1960 The nonuniqueness of irreducible constituents of integral group representations. Zbl 0099.01503 Reiner, Irving 2 1960 Behavior of integral group representations under ground ring extension. Zbl 0095.02101 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 40 1957 A new type of automorphism of the general linear group over a ring. Zbl 0079.03901 Reiner, Irving 16 1957 Automorphisms of the general linear group over a principal ideal domain. Zbl 0208.03602 Landin, Joseph; Reiner, Irving 9 1957 Congruence subgroups of matrix groups. Zbl 0073.01601 Reiner, Irving; Swift, J. D. 7 1956 Unimodular complements. Zbl 0071.01403 Reiner, Irving 3 1956 Maschke modules over Dedekind rings. Zbl 0075.24302 Reiner, Irving 3 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 31 1951 On the generators of the symplectic modular group. Zbl 0034.30503 Hua, L. K.; Reiner, Irving 35 1949 all cited Publications top 5 cited Publications all top 5 Cited by 3,052 Authors 26 Reiner, Irving 18 Zalesski, Alexandre Efimovich 17 Bleher, Frauke M. 17 Nebe, Gabriele 16 Rump, Wolfgang 15 del Río, Angel 15 Guralnick, Robert Michael 15 Iyama, Osamu 15 Roggenkamp, Klaus W. 14 Carlson, Jon Frederick 14 Zarkhin, Yuriĭ Gennad’evich 13 Burns, David John 13 Cossey, John 13 Geck, Meinolf 13 Külshammer, Burkhard 13 Levy, Lawrence S. 13 Nickel, Andreas 13 Terwilliger, Paul M. 12 Dress, Andreas W. M. 12 Haefner, Jeremy 12 Johnston, Henri L. A. 12 Olteanu, Gabriela 12 Scott, Leonard L. 11 Bakshi, Gurmeet K. 11 Boltje, Robert 11 Drozd, Yuriĭ Anatoliĭovych 11 Hu, Jun 11 Kleshchev, Alexander S. 11 Oliver, Bob 11 van Oystaeyen, Freddy 11 Zalesskii, Pavel 10 Chinburg, Ted 10 Giambruno, Antonio 10 Halverson, Thomas 10 Newman, Morris 10 Sehgal, Sudarshan Kumar 10 Sodaïgui, Bouchaïb 10 Symonds, Peter 10 Takegahara, Yugen 10 Toffalori, Carlo 10 Yu, Chia-Fu 9 Aljadeff, Eli 9 Bryce, Robert Aitken 9 Fein, Burton 9 Ingalls, Colin 9 Janusz, Gerald J. 9 Jespers, Eric 9 Kleinert, Ernst 9 Kondrat’ev, Anatoliĭ Semenovich 9 Kuku, Aderemi Oluyomi 9 Lam, Tsit-Yuen 9 Linckelmann, Markus 9 Linowitz, Benjamin 9 Macias Castillo, Daniel 9 Martínez López, Consuelo 9 Ritter, Jürgen 9 Schacher, Murray M. 9 Solleveld, Maarten 9 Wales, David Bertram 8 Benkart, Georgia McClure 8 Bley, Werner 8 Braun, Amiram 8 Bryant, Roger M. 8 DeMeyer, Frank R. 8 First, Uriya A. 8 Gudivok, P. M. 8 Gustafson, William H. 8 Hiss, Gerhard 8 König, Steffen 8 Margolis, Leo 8 Sonn, Jack 8 Tiep Pham Huu 8 Vélez-Marulanda, José A. 8 Weiss, Alfred R. 8 Wiegand, Roger Allen 8 Yakimov, Milen T. 7 Benson, David John 7 Berger, Thomas R. 7 Brussel, Eric S. 7 Brzezinski, Juliusz 7 Bunina, Elena Igor’evna 7 Chan, Daniel 7 Conlon, S. B. 7 Danz, Susanne 7 Du, Jie 7 Eisele, Florian 7 González, Santos 7 Hofmann, Tommy 7 Ivanyos, Gábor 7 Kionke, Steffen 7 Kurdachenko, Leonid Andriĭovych 7 Malinin, Dmitry A. 7 Mason, Geoffrey 7 Mathas, Andrew 7 Michler, Gerhard O. 7 Müller, Jürgen 7 Mundet i Riera, Ignasi 7 Papikian, Mihran 7 Passi, Inder Bir Singh 7 Putcha, Mohan S. ...and 2,952 more Authors all top 5 Cited in 305 Serials 856 Journal of Algebra 186 Journal of Pure and Applied Algebra 154 Communications in Algebra 143 Transactions of the American Mathematical Society 131 Mathematische Zeitschrift 112 Journal of Number Theory 102 Proceedings of the American Mathematical Society 78 Advances in Mathematics 71 Linear Algebra and its Applications 56 Inventiones Mathematicae 54 Israel Journal of Mathematics 53 Mathematische Annalen 42 Manuscripta Mathematica 41 Archiv der Mathematik 40 Algebras and Representation Theory 31 Mathematical Proceedings of the Cambridge Philosophical Society 28 Journal of Algebraic Combinatorics 24 Bulletin of the Australian Mathematical Society 24 Journal of Algebra and its Applications 23 Journal of Combinatorial Theory. Series A 22 Compositio Mathematica 22 Duke Mathematical Journal 22 Bulletin of the American Mathematical Society 21 Mathematics of Computation 21 Journal of the Australian Mathematical Society 20 Journal de Théorie des Nombres de Bordeaux 19 Discrete Mathematics 18 Annales de l’Institut Fourier 18 European Journal of Combinatorics 18 Journal of Mathematical Sciences (New York) 17 \(K\)-Theory 17 Representation Theory 15 Linear and Multilinear Algebra 15 Ukrainian Mathematical Journal 15 Finite Fields and their Applications 15 International Journal of Number Theory 14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 14 Journal of Soviet Mathematics 14 Topology and its Applications 14 Journal of Symbolic Computation 14 Journal of Group Theory 13 Journal of the London Mathematical Society. Second Series 13 Applicable Algebra in Engineering, Communication and Computing 12 Mathematical Notes 12 Algebra and Logic 12 Glasgow Mathematical Journal 12 Rendiconti del Seminario Matematico della Università di Padova 12 Transformation Groups 11 Rocky Mountain Journal of Mathematics 11 Bulletin of the London Mathematical Society 11 Memoirs of the American Mathematical Society 11 Proceedings of the London Mathematical Society. Third Series 11 Selecta Mathematica. New Series 11 Algebraic & Geometric Topology 10 Communications in Mathematical Physics 10 Nagoya Mathematical Journal 10 Proceedings of the Edinburgh Mathematical Society. Series II 10 Siberian Mathematical Journal 10 Journal of the American Mathematical Society 9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 9 Journal für die Reine und Angewandte Mathematik 9 Semigroup Forum 9 Tôhoku Mathematical Journal. Second Series 9 Algebra & Number Theory 9 Forum of Mathematics, Sigma 8 Acta Arithmetica 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Mathematika 8 Forum Mathematicum 8 Bulletin of the American Mathematical Society. New Series 8 Documenta Mathematica 7 Nuclear Physics. B 7 Geometriae Dedicata 7 Monatshefte für Mathematik 7 Designs, Codes and Cryptography 7 Journal of the European Mathematical Society (JEMS) 7 Proceedings of the Japan Academy 7 Proceedings of the Steklov Institute of Mathematics 6 Reports on Mathematical Physics 6 Publications Mathématiques 6 Advances in Applied Mathematics 6 Indagationes Mathematicae. New Series 6 Annals of Mathematics. Second Series 6 JP Journal of Algebra, Number Theory and Applications 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Beiträge zur Algebra und Geometrie 5 Acta Mathematica 5 Canadian Journal of Mathematics 5 Journal of Combinatorial Theory. Series B 5 Journal of Statistical Planning and Inference 5 Mathematische Nachrichten 5 Chinese Annals of Mathematics. Series B 5 Computational Complexity 5 Algebra Colloquium 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Groups, Geometry, and Dynamics 5 Asian-European Journal of Mathematics 5 International Journal of Group Theory 5 European Journal of Mathematics 5 Research in Number Theory ...and 205 more Serials all top 5 Cited in 55 Fields 1,681 Group theory and generalizations (20-XX) 1,122 Associative rings and algebras (16-XX) 748 Number theory (11-XX) 329 Algebraic geometry (14-XX) 269 Combinatorics (05-XX) 187 Commutative algebra (13-XX) 170 Nonassociative rings and algebras (17-XX) 165 Category theory; homological algebra (18-XX) 154 \(K\)-theory (19-XX) 136 Linear and multilinear algebra; matrix theory (15-XX) 132 Manifolds and cell complexes (57-XX) 109 Topological groups, Lie groups (22-XX) 99 Algebraic topology (55-XX) 92 Field theory and polynomials (12-XX) 56 Information and communication theory, circuits (94-XX) 55 Quantum theory (81-XX) 44 Computer science (68-XX) 36 Mathematical logic and foundations (03-XX) 35 Differential geometry (53-XX) 32 Dynamical systems and ergodic theory (37-XX) 28 Geometry (51-XX) 24 Abstract harmonic analysis (43-XX) 23 Several complex variables and analytic spaces (32-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 22 Functional analysis (46-XX) 18 Convex and discrete geometry (52-XX) 17 Probability theory and stochastic processes (60-XX) 16 Global analysis, analysis on manifolds (58-XX) 16 Numerical analysis (65-XX) 15 Special functions (33-XX) 10 Functions of a complex variable (30-XX) 8 Operator theory (47-XX) 8 General topology (54-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 General algebraic systems (08-XX) 5 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-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 Statistics (62-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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