Edit Profile (opens in new tab) Schacher, Murray M. Co-Author Distance Author ID: schacher.murray-m Published as: Schacher, Murray; Schacher, M.; Schacher, Murray M.; Schacher, M. M. more...less Documents Indexed: 69 Publications since 1968 2 Contributions as Editor Co-Authors: 25 Co-Authors with 63 Joint Publications 650 Co-Co-Authors all top 5 Co-Authors 7 single-authored 46 Fein, Burton 7 Sonn, Jack 6 Saltman, David J. 3 Guralnick, Robert Michael 2 Gordon, Basil 2 Procesi, Claudio 2 Straus, Ernst G. 1 Allman, Elizabeth S. 1 Arason, Jón Kristinn 1 Benard, Mark 1 Elman, Richard S. 1 Estes, Dennis Ray 1 Gordon, Robert 1 Hales, Alfred W. 1 Herstein, Israel Nathan 1 Janusz, Gerald J. 1 Kantor, William M. 1 Lewis, Mark L. 1 Montgomery, Susan 1 Ralston, Elizabeth Wall 1 Seitz, Gary M. 1 Small, Lance W. 1 Smith, Martha K. 1 Varadarajan, Veeravalli S. 1 Wadsworth, Adrian R. all top 5 Serials 29 Journal of Algebra 6 Proceedings of the American Mathematical Society 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Pacific Journal of Mathematics 3 Transactions of the American Mathematical Society 2 Communications in Algebra 2 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Acta Arithmetica 1 Archiv der Mathematik 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Contemporary Mathematics all top 5 Fields 37 Associative rings and algebras (16-XX) 36 Field theory and polynomials (12-XX) 31 Number theory (11-XX) 22 Algebraic geometry (14-XX) 19 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-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 56 Publications have been cited 463 times in 315 Documents Cited by ▼ Year ▼ Relative Brauer groups. II. Zbl 0457.13004Fein, Burton; Kantor, William M.; Schacher, Murray 71 1981 The Schur subgroup. II. Zbl 0239.20007Benard, Mark; Schacher, Murray M. 48 1972 Subfields of division rings. I. Zbl 0174.34103Schacher, M. M. 47 1968 A non-commutative real Nullstellensatz and Hilbert’s 17th problem. Zbl 0347.16010Procesi, Claudio; Schacher, Murray 21 1976 Algebraic valued functions on noncommutative rings. Zbl 0311.16017Herstein, Israel N.; Procesi, Claudio; Schacher, Murray 19 1975 Brauer groups of rational function fields over global fields. Zbl 0455.12011Fein, B.; Schacher, M. 17 1981 Noncrossed products in characteristic \(p\). Zbl 0256.16013Schacher, Murray M.; Small, Lance W. 14 1973 Embedding finite groups in rational division algebras. I. Zbl 0218.16006Fein, B.; Schacher, M. 13 1971 The admissibility of \(A_5\). Zbl 0422.12014Gordon, Basil; Schacher, Murray 11 1979 Galois groups and division algebras. Zbl 0343.16019Fein, Burton; Schacher, Murray M. 10 1976 Properties of iterates and composites of polynomials. Zbl 0865.12003Fein, Burton; Schacher, Murray 10 1996 Cyclic extensions of K(\(\sqrt{-1})/K\). Zbl 0682.12020Arason, Jón Kr.; Fein, Burton; Schacher, Murray; Sonn, Jack 9 1989 Ulm invariants of the Brauer group of a field. Zbl 0334.20019Fein, Burton; Schacher, Murray 8 1977 Embedding finite groups in rational division algebras. II. Zbl 0218.16007Fein, B.; Schacher, M. 8 1971 Brauer-Hilbertian fields. Zbl 0767.12003Fein, Burton; Saltman, David J.; Schacher, Murray 8 1992 Brauer groups of fields algebraic over Q. Zbl 0344.12004Fein, Burton; Schacher, Murray 7 1976 Crossed products over rational function fields. Zbl 0793.16017Fein, Burton; Saltman, David J.; Schacher, Murray 7 1993 Equations in prime powers. Zbl 0581.20009Estes, D.; Guralnick, R.; Schacher, M.; Straus, E. 6 1985 Double covers of the symmetric groups as Galois groups over number fields. Zbl 0666.12004Schacher, M.; Sonn, J. 6 1988 Quartic coverings of a cubic. Zbl 0377.12002Gordon, Basil; Schacher, Murray 6 1977 Relative Brauer groups. I. Zbl 0436.13003Fein, Burton; Schacher, Murray 6 1981 More on the Schur subgroup. Zbl 0242.20001Schacher, Murray M. 6 1972 \(K\)-admissibility of \(A_ 6\) and \(A_ 7\). Zbl 0739.12004Schacher, Murray; Sonn, Jack 6 1992 Brauer groups and character groups of function fields. II. Zbl 0544.13003Fein, Burton; Schacher, Murray 5 1984 The ordinary quaternions over a Pythagorean field. Zbl 0345.16022Fein, Burton; Schacher, Murray 5 1977 Brauer groups of rational function fields. Zbl 0421.12016Fein, Burton; Schacher, Murray; Sonn, Jack 5 1979 Brauer groups and character groups of function fields. Zbl 0426.13002Fein, Burton; Schacher, Murray 5 1979 Division rings and the square root of -1. Zbl 0452.16011Fein, Burton; Schacher, Murray; Wadsworth, Adrian 5 1980 Embedding finite groups in rational division algebras. III. Zbl 0247.16006Fein, Burton; Schacher, Murray 5 1974 Embedding problems for finite dimensional division algebras. Zbl 0812.16024Fein, Burton; Saltman, David J.; Schacher, Murray 5 1994 \(\mathbb Q\)-admissibility questions for alternating groups. Zbl 0751.20032Fein, Burton; Schacher, Murray 5 1991 Minimality questions for simple algebras. Zbl 0688.16018Fein, Burton; Schacher, Murray 4 1989 Ulm invariants of the Brauer group of a field. II. Zbl 0367.20033Fein, Burton; Schacher, Murray 4 1978 Finite subgroups occuring in finite-dimensional division algebras. Zbl 0292.16014Fein, Burton; Schacher, Murray 4 1974 Irreducible polynomials which are locally reducible everywhere. Zbl 1134.11040Guralnick, Robert; Schacher, Murray M.; Sonn, Jack 4 2005 Relative Brauer groups. III. Zbl 0484.13005Fein, Burton; Schacher, Murray 3 1982 Heights of cyclic field extensions. Zbl 0664.12019Fein, Burton; Saltman, David; Schacher, Murray 3 1988 Division algebras with \(\text{PSL} (2,q)\)-Galois maximal subfields. Zbl 0977.12004Allman, Elizabeth S.; Schacher, Murray M. 3 2001 Strong crossed product division algebras. Zbl 0434.16014Fein, Burton; Schacher, Murray 3 1980 Some applications of a non-archimedean analogue of Descartes’ rule of signs. Zbl 0251.12003Schacher, M.; Straus, E. G. 3 1974 Crossed products over algebraic function fields. Zbl 0827.12005Fein, Burton; Schacher, Murray 3 1995 A conjecture about relative Brauer groups. Zbl 0823.13001Fein, Burton; Schacher, Murray 3 1995 \(\mathbb{Q}(t)\) and \(\mathbb{Q}((t))\)-admissibility of groups of odd order. Zbl 0974.12003Fein, Burton; Schacher, Murray 3 1995 Norms in central simple algebras. Zbl 1437.11152Goldstein, Daniel; Schacher, Murray 2 2018 Central extensions of symmetric groups as Galois groups. Zbl 0679.12011Kotlar, D.; Schacher, M.; Sonn, J. 2 1989 Minimal embeddings of central simple algebras. Zbl 0729.16008Fein, Burton; Saltman, David J.; Schacher, Murray 2 1990 Solutions of pure equations in rational division algebras. I. Zbl 0214.05501Fein, B.; Schacher, M. 2 1971 \(\pi\)-groups that are \(M\)-groups. Zbl 0234.20002Schacher, Murray; Seitz, Gary M. 2 1972 Subfields of division rings. II. Zbl 0174.34104Schacher, M. M. 2 1968 Brauer groups of algebraic function fields. Zbl 0606.12008Fein, Burton; Schacher, Murray 1 1986 Applications of the classification of finite simple groups to Brauer groups. Zbl 0504.13002Schacher, Murray 1 1982 Brauer groups of fields of genus zero. Zbl 0658.12006Fein, B.; Schacher, M.; Sonn, J. 1 1988 A generalization of \({\mathbb{Q}}\)-admissibility. Zbl 0695.16015Fein, Burton; Schacher, Murray 1 1990 Divisible groups that are Brauer groups. Zbl 0426.13001Fein, Burton; Schacher, Murray 1 1979 Solutions of pure equations in rational division algebras. II. Zbl 0234.16010Fein, Burton; Schacher, Murray 1 1972 Cyclotomic splitting fields. Zbl 0243.12006Schacher, Murray M. 1 1970 Norms in central simple algebras. Zbl 1437.11152Goldstein, Daniel; Schacher, Murray 2 2018 Irreducible polynomials which are locally reducible everywhere. Zbl 1134.11040Guralnick, Robert; Schacher, Murray M.; Sonn, Jack 4 2005 Division algebras with \(\text{PSL} (2,q)\)-Galois maximal subfields. Zbl 0977.12004Allman, Elizabeth S.; Schacher, Murray M. 3 2001 Properties of iterates and composites of polynomials. Zbl 0865.12003Fein, Burton; Schacher, Murray 10 1996 Crossed products over algebraic function fields. Zbl 0827.12005Fein, Burton; Schacher, Murray 3 1995 A conjecture about relative Brauer groups. Zbl 0823.13001Fein, Burton; Schacher, Murray 3 1995 \(\mathbb{Q}(t)\) and \(\mathbb{Q}((t))\)-admissibility of groups of odd order. Zbl 0974.12003Fein, Burton; Schacher, Murray 3 1995 Embedding problems for finite dimensional division algebras. Zbl 0812.16024Fein, Burton; Saltman, David J.; Schacher, Murray 5 1994 Crossed products over rational function fields. Zbl 0793.16017Fein, Burton; Saltman, David J.; Schacher, Murray 7 1993 Brauer-Hilbertian fields. Zbl 0767.12003Fein, Burton; Saltman, David J.; Schacher, Murray 8 1992 \(K\)-admissibility of \(A_ 6\) and \(A_ 7\). Zbl 0739.12004Schacher, Murray; Sonn, Jack 6 1992 \(\mathbb Q\)-admissibility questions for alternating groups. Zbl 0751.20032Fein, Burton; Schacher, Murray 5 1991 Minimal embeddings of central simple algebras. Zbl 0729.16008Fein, Burton; Saltman, David J.; Schacher, Murray 2 1990 A generalization of \({\mathbb{Q}}\)-admissibility. Zbl 0695.16015Fein, Burton; Schacher, Murray 1 1990 Cyclic extensions of K(\(\sqrt{-1})/K\). Zbl 0682.12020Arason, Jón Kr.; Fein, Burton; Schacher, Murray; Sonn, Jack 9 1989 Minimality questions for simple algebras. Zbl 0688.16018Fein, Burton; Schacher, Murray 4 1989 Central extensions of symmetric groups as Galois groups. Zbl 0679.12011Kotlar, D.; Schacher, M.; Sonn, J. 2 1989 Double covers of the symmetric groups as Galois groups over number fields. Zbl 0666.12004Schacher, M.; Sonn, J. 6 1988 Heights of cyclic field extensions. Zbl 0664.12019Fein, Burton; Saltman, David; Schacher, Murray 3 1988 Brauer groups of fields of genus zero. Zbl 0658.12006Fein, B.; Schacher, M.; Sonn, J. 1 1988 Brauer groups of algebraic function fields. Zbl 0606.12008Fein, Burton; Schacher, Murray 1 1986 Equations in prime powers. Zbl 0581.20009Estes, D.; Guralnick, R.; Schacher, M.; Straus, E. 6 1985 Brauer groups and character groups of function fields. II. Zbl 0544.13003Fein, Burton; Schacher, Murray 5 1984 Relative Brauer groups. III. Zbl 0484.13005Fein, Burton; Schacher, Murray 3 1982 Applications of the classification of finite simple groups to Brauer groups. Zbl 0504.13002Schacher, Murray 1 1982 Relative Brauer groups. II. Zbl 0457.13004Fein, Burton; Kantor, William M.; Schacher, Murray 71 1981 Brauer groups of rational function fields over global fields. Zbl 0455.12011Fein, B.; Schacher, M. 17 1981 Relative Brauer groups. I. Zbl 0436.13003Fein, Burton; Schacher, Murray 6 1981 Division rings and the square root of -1. Zbl 0452.16011Fein, Burton; Schacher, Murray; Wadsworth, Adrian 5 1980 Strong crossed product division algebras. Zbl 0434.16014Fein, Burton; Schacher, Murray 3 1980 The admissibility of \(A_5\). Zbl 0422.12014Gordon, Basil; Schacher, Murray 11 1979 Brauer groups of rational function fields. Zbl 0421.12016Fein, Burton; Schacher, Murray; Sonn, Jack 5 1979 Brauer groups and character groups of function fields. Zbl 0426.13002Fein, Burton; Schacher, Murray 5 1979 Divisible groups that are Brauer groups. Zbl 0426.13001Fein, Burton; Schacher, Murray 1 1979 Ulm invariants of the Brauer group of a field. II. Zbl 0367.20033Fein, Burton; Schacher, Murray 4 1978 Ulm invariants of the Brauer group of a field. Zbl 0334.20019Fein, Burton; Schacher, Murray 8 1977 Quartic coverings of a cubic. Zbl 0377.12002Gordon, Basil; Schacher, Murray 6 1977 The ordinary quaternions over a Pythagorean field. Zbl 0345.16022Fein, Burton; Schacher, Murray 5 1977 A non-commutative real Nullstellensatz and Hilbert’s 17th problem. Zbl 0347.16010Procesi, Claudio; Schacher, Murray 21 1976 Galois groups and division algebras. Zbl 0343.16019Fein, Burton; Schacher, Murray M. 10 1976 Brauer groups of fields algebraic over Q. Zbl 0344.12004Fein, Burton; Schacher, Murray 7 1976 Algebraic valued functions on noncommutative rings. Zbl 0311.16017Herstein, Israel N.; Procesi, Claudio; Schacher, Murray 19 1975 Embedding finite groups in rational division algebras. III. Zbl 0247.16006Fein, Burton; Schacher, Murray 5 1974 Finite subgroups occuring in finite-dimensional division algebras. Zbl 0292.16014Fein, Burton; Schacher, Murray 4 1974 Some applications of a non-archimedean analogue of Descartes’ rule of signs. Zbl 0251.12003Schacher, M.; Straus, E. G. 3 1974 Noncrossed products in characteristic \(p\). Zbl 0256.16013Schacher, Murray M.; Small, Lance W. 14 1973 The Schur subgroup. II. Zbl 0239.20007Benard, Mark; Schacher, Murray M. 48 1972 More on the Schur subgroup. Zbl 0242.20001Schacher, Murray M. 6 1972 \(\pi\)-groups that are \(M\)-groups. Zbl 0234.20002Schacher, Murray; Seitz, Gary M. 2 1972 Solutions of pure equations in rational division algebras. II. Zbl 0234.16010Fein, Burton; Schacher, Murray 1 1972 Embedding finite groups in rational division algebras. I. Zbl 0218.16006Fein, B.; Schacher, M. 13 1971 Embedding finite groups in rational division algebras. II. Zbl 0218.16007Fein, B.; Schacher, M. 8 1971 Solutions of pure equations in rational division algebras. I. Zbl 0214.05501Fein, B.; Schacher, M. 2 1971 Cyclotomic splitting fields. Zbl 0243.12006Schacher, Murray M. 1 1970 Subfields of division rings. I. Zbl 0174.34103Schacher, M. M. 47 1968 Subfields of division rings. II. Zbl 0174.34104Schacher, M. M. 2 1968 all cited Publications top 5 cited Publications all top 5 Cited by 308 Authors 35 Schacher, Murray M. 30 Fein, Burton 21 Sonn, Jack 10 Saltman, David J. 8 Marušič, Dragan 7 Mollin, Richard Anthony 6 Brussel, Eric S. 6 Giudici, Michael 6 Mai Hoang Bien 6 Praeger, Cheryl Elisabeth 6 Stern, Leonid 6 Wadsworth, Adrian R. 5 Burness, Timothy C. 5 Cimprič, Jaka 5 Feit, Walter 5 Jones, Rafe 5 Risman, Lawrence J. 5 Yamada, Toshihiko 5 Zhao, Xianhe 4 Bui Xuan Hai 4 Cameron, Peter Jephson 4 Chen, RuiFang 4 Chipchakov, Ivan D. 4 del Río, Angel 4 Guralnick, Robert Michael 4 Janusz, Gerald J. 4 Kutnar, Klavdija 4 Rowen, Louis Halle 4 Unger, Thomas P. 3 Aljadeff, Eli 3 Arezoomand, Majid 3 Astier, Vincent 3 Benard, Mark 3 Ford, Charles E. 3 Fumagalli, Francesco 3 Greenfield, Gary R. 3 Herman, Allen 3 Klep, Igor 3 Li, Caiheng 3 Procesi, Claudio 3 Reichstein, Zinovy B. 3 Schmid, Peter P. 3 Spiegel, Eugene 3 Spiga, Pablo 3 Trojan, Allan 2 Acciaro, Vincenzo 2 Akbari, Saieed 2 Allman, Elizabeth S. 2 Amitsur, Shimshon Avraham 2 Ariannejad, Masoud 2 Bartels, Hans-Jochen 2 Chuang, Chen-Lian 2 Di Vincenzo, Onofrio Mario 2 Dobson, Edward 2 Elman, Richard S. 2 Felipe, María José 2 Guo, Xiuyun 2 Hall, Emily V. 2 Havlicek, Hans 2 Hazrat, Roozbeh 2 Helton, John William 2 Herstein, Israel Nathan 2 Hindes, Wade 2 Huang, Qin 2 Hujdurović, Ademir 2 Jacob, Bill 2 Jensen, Christian Ulrik 2 Kantor, William M. 2 König, Joachim 2 Krashen, Daniel 2 Larsen, Michael Jeffrey 2 Leep, David B. 2 Lewis, Mark L. 2 Malnič, Aleksander 2 McCullough, Scott A. 2 Meir, Ehud 2 Merkur’ev, Aleksandr Sergeevich 2 Neftin, Danny 2 Nowitz, Lewis A. 2 Olteanu, Gabriela 2 Pasotti, Stefano 2 Pendergrass, J. William 2 Pianta, Silvia 2 Putinar, Mihai 2 Savchuk, Yuri 2 Savin, Diana 2 Smith, Tara L. 2 Solomon, Ronald Mark 2 Suresh, Venapally 2 Swallow, John R. 2 Taous, Mohammed 2 Tong-Viet, Hung P. 2 Vishne, Uzi 2 Volčič, Jurij 2 Zekhnini, Abdelkader 2 Zhou, Yanyan 1 Aaghabali, Mehdi 1 Abboud, Elias 1 Abdollahi, Alireza 1 Ahmadi, Amir Ali ...and 208 more Authors all top 5 Cited in 79 Serials 83 Journal of Algebra 30 Communications in Algebra 27 Israel Journal of Mathematics 18 Proceedings of the American Mathematical Society 13 Journal of Number Theory 11 Journal of Pure and Applied Algebra 11 Transactions of the American Mathematical Society 6 Linear Algebra and its Applications 5 Archiv der Mathematik 5 European Journal of Combinatorics 4 Advances in Mathematics 4 Mathematische Zeitschrift 4 Journal of Group Theory 3 Discrete Mathematics 3 Rocky Mountain Journal of Mathematics 3 Journal of Soviet Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Bulletin of the American Mathematical Society 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematics of Computation 2 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Rendiconti del Seminario Matematico della Università di Padova 2 Bulletin of the Korean Mathematical Society 2 \(K\)-Theory 2 The New York Journal of Mathematics 2 Positivity 2 Journal of Algebra and its Applications 2 International Journal of Number Theory 2 Forum of Mathematics, Sigma 1 Mathematical Notes 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Algebra and Logic 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series B 1 Journal of Geometry 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Studia Logica 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Probability Theory and Related Fields 1 Forum Mathematicum 1 Journal of Global Optimization 1 Geometric and Functional Analysis. GAFA 1 Glasnik Matematički. Serija III 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 SIAM Journal on Optimization 1 Journal of Algebraic Combinatorics 1 Applied Categorical Structures 1 Journal de Théorie des Nombres de Bordeaux 1 St. Petersburg Mathematical Journal 1 The Electronic Journal of Combinatorics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Transformation Groups 1 Taiwanese Journal of Mathematics 1 Advances in Geometry 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Uniform Distribution Theory 1 Electronic Research Announcements in Mathematical Sciences 1 Ars Mathematica Contemporanea 1 Science China. Mathematics 1 International Journal of Group Theory 1 Transactions on Combinatorics 1 Transactions of the American Mathematical Society. Series B 1 Algebraic Combinatorics all top 5 Cited in 32 Fields 138 Associative rings and algebras (16-XX) 120 Group theory and generalizations (20-XX) 102 Number theory (11-XX) 88 Field theory and polynomials (12-XX) 62 Algebraic geometry (14-XX) 20 Combinatorics (05-XX) 15 Commutative algebra (13-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 5 Nonassociative rings and algebras (17-XX) 5 \(K\)-theory (19-XX) 3 Category theory; homological algebra (18-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 2 History and biography (01-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Citations by Year