Edit Profile (opens in new tab) Whaples, George Co-Author Distance Author ID: whaples.george Published as: Whaples, G.; Whaples, George External Links: MGP · Wikidata · GND Documents Indexed: 35 Publications since 1942 Co-Authors: 15 Co-Authors with 20 Joint Publications 44 Co-Co-Authors all top 5 Co-Authors 13 single-authored 3 Artin, Emil 3 Nyman, T. 2 Rhie, Y. H. 1 Bray, Una 1 Buzby, B. 1 Crampton, T. H. M. 1 Dorey, F. 1 Everett, C. J. jun. 1 Glass, K. H. M. 1 Goldhaber, Jacob K. 1 Heaton, Robert 1 Leavitt, William G. 1 MacKenzie, Robert E. 1 Rim, Dock Sang 1 Tae Kun Seo all top 5 Serials 8 Duke Mathematical Journal 5 Bulletin of the American Mathematical Society 4 Canadian Journal of Mathematics 3 American Journal of Mathematics 3 Journal für die Reine und Angewandte Mathematik 2 Journal of the Mathematical Society of Japan 2 Proceedings of the American Mathematical Society 1 Journal of Algebra 1 Nagoya Mathematical Journal 1 Transactions of the American Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Annals of Mathematics. Second Series 1 Journal of the Society for Industrial & Applied Mathematics 1 Journal of Rational Mechanics and Analysis 1 Journal of the Faculty of Science. Section I all top 5 Fields 12 Number theory (11-XX) 5 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 2 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 239 times in 204 Documents Cited by ▼ Year ▼ Axiomatic characterization of fields by the product formula for valuations. Zbl 0060.08302 Artin, E.; Whaples, G. 41 1945 Prime and composite polynomials. Zbl 0286.12102 Dorey, F.; Whaples, G. 29 1974 The theory of simple rings. Zbl 0060.07607 Artin, Emil; Whaples, George 24 1943 Artin-Scheier equations in characteristic zero. Zbl 0073.26402 MacKenzie, R. E.; Whaples, G. 19 1956 Galois cohomology of additive polynomial and \(n\)-th power mappings of fields. Zbl 0081.26702 Whaples, G. 17 1957 Algebraic extensions of arbitrary fields. Zbl 0081.26703 Whaples, G. 17 1957 Representations of sequences of sets. Zbl 0034.17801 Everett, C. J.; Whaples, G. 9 1949 Polynomials with coefficients from a division ring. Zbl 0496.16022 Bray, Una; Whaples, George 8 1983 Non-analytic class field theory and Grünwald’s theorem. Zbl 0063.08226 Whaples, George 8 1942 Generalized local class field theory. II: Existence theorem. III: Second form of existence theorem. Structure of analytic groups. IV: Cardinalities. Zbl 0058.03001 Whaples, G. 7 1954 A note on axiomatic characterization of fields. Zbl 0060.08303 Artin, E.; Whaples, G. 7 1946 Generalized local class field theory. I. Reciprocity law. Zbl 0047.03702 Whaples, G. 7 1952 Additive polynomials. Zbl 0055.02603 Whaples, G. 6 1954 Hecke operators in cohomology of groups. Zbl 0211.34705 Rhie, Y. H.; Whaples, G. 6 1970 Generalized local class field theory. V: The generality of local class field theory. Zbl 0079.06002 Whaples, G. 5 1957 Global norm-residue map over quasi-finite field. Zbl 0149.29601 Rim, D. S.; Whaples, G. 4 1966 Hecke operators in cohomology of groups. Zbl 0195.32201 Rhie, Y. H.; Whaples, G. 3 1970 On matrices with elements in a principal ideal ring. Zbl 0034.15605 Leavitt, William; Whaples, George 3 1949 Polynomial cocycles. Zbl 0088.03503 Heaton, R.; Whaples, G. 3 1958 Hasse’s principle for simple algebras over function fields of curves. I: Algebras of index 2 and 3; curves of genus 0 and 1. Zbl 0367.12008 Nyman, T.; Whaples, G. 2 1978 On some matrix theorems of Frobenius and McCoy. Zbl 0052.03201 Goldhaber, J. K.; Whaples, G. 2 1953 Quadratic forms over arbitrary fields. Zbl 0089.01103 Buzby, B.; Whaples, G. 2 1959 On extending a norm residue symbol. Zbl 0211.07902 Glass, K. H. M.; Moore, R. A.; Whaples, G. 1 1970 Carathéodory’s temperature equations. Zbl 0047.29801 Whaples, G. 1 1952 Existence of generalized local class fields. Zbl 0052.03404 Whaples, G. 1 1953 Additive polynomials. II. Zbl 0064.03603 Crampton, T. H. M.; Whaples, G. 1 1955 A theorem on cyclic algebras. Zbl 0046.26203 Whaples, George 1 1952 Correction to the paper: ”Hasses’s principle for simple algebras over function fields of curves. I”. Zbl 0382.12006 Nyman, T.; Whaples, G. 1 1978 Polynomials with coefficients from a division ring. Zbl 0496.16022 Bray, Una; Whaples, George 8 1983 Hasse’s principle for simple algebras over function fields of curves. I: Algebras of index 2 and 3; curves of genus 0 and 1. Zbl 0367.12008 Nyman, T.; Whaples, G. 2 1978 Correction to the paper: ”Hasses’s principle for simple algebras over function fields of curves. I”. Zbl 0382.12006 Nyman, T.; Whaples, G. 1 1978 Prime and composite polynomials. Zbl 0286.12102 Dorey, F.; Whaples, G. 29 1974 Hecke operators in cohomology of groups. Zbl 0211.34705 Rhie, Y. H.; Whaples, G. 6 1970 Hecke operators in cohomology of groups. Zbl 0195.32201 Rhie, Y. H.; Whaples, G. 3 1970 On extending a norm residue symbol. Zbl 0211.07902 Glass, K. H. M.; Moore, R. A.; Whaples, G. 1 1970 Global norm-residue map over quasi-finite field. Zbl 0149.29601 Rim, D. S.; Whaples, G. 4 1966 Quadratic forms over arbitrary fields. Zbl 0089.01103 Buzby, B.; Whaples, G. 2 1959 Polynomial cocycles. Zbl 0088.03503 Heaton, R.; Whaples, G. 3 1958 Galois cohomology of additive polynomial and \(n\)-th power mappings of fields. Zbl 0081.26702 Whaples, G. 17 1957 Algebraic extensions of arbitrary fields. Zbl 0081.26703 Whaples, G. 17 1957 Generalized local class field theory. V: The generality of local class field theory. Zbl 0079.06002 Whaples, G. 5 1957 Artin-Scheier equations in characteristic zero. Zbl 0073.26402 MacKenzie, R. E.; Whaples, G. 19 1956 Additive polynomials. II. Zbl 0064.03603 Crampton, T. H. M.; Whaples, G. 1 1955 Generalized local class field theory. II: Existence theorem. III: Second form of existence theorem. Structure of analytic groups. IV: Cardinalities. Zbl 0058.03001 Whaples, G. 7 1954 Additive polynomials. Zbl 0055.02603 Whaples, G. 6 1954 On some matrix theorems of Frobenius and McCoy. Zbl 0052.03201 Goldhaber, J. K.; Whaples, G. 2 1953 Existence of generalized local class fields. Zbl 0052.03404 Whaples, G. 1 1953 Generalized local class field theory. I. Reciprocity law. Zbl 0047.03702 Whaples, G. 7 1952 Carathéodory’s temperature equations. Zbl 0047.29801 Whaples, G. 1 1952 A theorem on cyclic algebras. Zbl 0046.26203 Whaples, George 1 1952 Representations of sequences of sets. Zbl 0034.17801 Everett, C. J.; Whaples, G. 9 1949 On matrices with elements in a principal ideal ring. Zbl 0034.15605 Leavitt, William; Whaples, George 3 1949 A note on axiomatic characterization of fields. Zbl 0060.08303 Artin, E.; Whaples, G. 7 1946 Axiomatic characterization of fields by the product formula for valuations. Zbl 0060.08302 Artin, E.; Whaples, G. 41 1945 The theory of simple rings. Zbl 0060.07607 Artin, Emil; Whaples, George 24 1943 Non-analytic class field theory and Grünwald’s theorem. Zbl 0063.08226 Whaples, George 8 1942 all cited Publications top 5 cited Publications all top 5 Cited by 224 Authors 9 von zur Gathen, Joachim 8 Hacque, Michel 6 Kuhlmann, Franz-Viktor 5 Nguyêñ Duy Tân 5 Whaples, George 5 Ziegler, Konstantin 4 Chipchakov, Ivan D. 4 Mináč, Ján 4 Zhukov, Igor’ Borisovich 3 Nguyễn Quôc Thăng 3 Schultz, Andrew 3 Zieve, Michael E. 2 Barbu, Adrian 2 Barsotti, Iacopo 2 Blaszczok, Anna 2 Brown, Ron 2 Byott, Nigel P. 2 Ding, Zhiguo 2 Douai, Jean-Claude 2 Dumbaugh, Della 2 Elder, Gove Griffith 2 Faugère, Jean-Charles 2 Geissinger, Ladnor 2 Ghiloni, Riccardo 2 Giesbrecht, Mark W. 2 Gutierrez, Jaime 2 Hazewinkel, Michiel 2 Heaton, Robert 2 Ivanova, Ol’ga Yur’evna 2 Jensen, Christian Ulrik 2 Kaplansky, Irving 2 Kozioł, Karol 2 Lee, Minho 2 Masuda, Kyûya 2 Nakayama, Tadasi 2 Navas Vicente, Luis Manuel 2 Ng, Tuen-Wai 2 Paladino, Laura 2 Pellarin, Federico 2 Perotti, Alessandro 2 Perret, Ludovic 2 Poonen, Bjorn 2 Robinson, Abraham 2 Roquette, Peter 2 Rosenberg, Alex 2 Ryser, Herbert John 2 Schwermer, Joachim 2 Sevilla, David 2 Zannier, Umberto M. 2 Zelinsky, Daniel 1 Adkins, William A. 1 Afanas’eva, Sof’ya Sergeevna 1 Aharoni, Ron 1 Akkus, Ilker 1 Anscombe, Sylvy 1 Arbieto, Alexander 1 Arens, Richard Friederich 1 Armitage, John Vernon 1 Artin, Emil 1 Azgin, Salih 1 Baanen, Anne 1 Barton, David R. 1 Bavula, Vladimir V. 1 Beals, Robert M. 1 Berg, Jennifer 1 Blankertz, Raoul 1 Bombieri, Enrico 1 Bondarko, Mikhail Vladimirovich 1 Brauer, Richard 1 Bumby, Richard T. 1 Buzby, B. 1 Česnavičius, Kęstutis 1 Chatzidakis, Zoé Maria 1 Cheung, Waishun 1 Clauwens, F. J.-B. J. 1 Colliot-Thélène, Jean-Louis 1 Cooper, Jacob Lionel Bakst 1 Corrales-Rodrigáñez, Capi 1 Corvaja, Pietro 1 Coulter, Robert S. 1 Crampton, T. H. M. 1 Cubides Kovacsics, Pablo 1 Dahmen, Sander R. 1 Demchenko, Oleg Vyacheslavovich 1 Dittmann, Philip 1 Dorey, F. 1 Dubickas, Artūras 1 Dürbaum, Hansjürgen 1 Dutta, Arpan 1 Dwork, Bernard Morris 1 Efrat, Ido 1 Eichler, Martin 1 Fallah-Moghaddam, R. 1 Fehm, Arno 1 Fesenko, Ivan Borisovich 1 Fontaine, Jean-Marc 1 Fornasiero, Antongiulio 1 Fukshansky, Lenny 1 Gaál, István 1 Gao, Xiaoshan ...and 124 more Authors all top 5 Cited in 77 Serials 23 Journal of Algebra 16 Communications in Algebra 13 Transactions of the American Mathematical Society 8 Proceedings of the American Mathematical Society 7 Journal of Number Theory 7 Journal of Symbolic Computation 6 Mathematische Zeitschrift 5 Journal of Pure and Applied Algebra 4 Israel Journal of Mathematics 4 Archiv der Mathematik 4 Bulletin of the American Mathematical Society 3 Advances in Mathematics 3 Manuscripta Mathematica 3 Mathematische Annalen 3 Mathematische Nachrichten 3 Linear Algebra and its Applications 3 Journal de Théorie des Nombres de Bordeaux 3 Journal of the Australian Mathematical Society 2 Journal of Mathematical Analysis and Applications 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Publications Mathématiques 2 Journal of Combinatorial Theory. Series A 2 The Journal of Symbolic Logic 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Tôhoku Mathematical Journal. Second Series 2 Journal of Complexity 2 Forum Mathematicum 2 Journal of Mathematical Sciences (New York) 2 Finite Fields and their Applications 2 Chebyshevskiĭ Sbornik 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 American Mathematical Monthly 1 Archive for History of Exact Sciences 1 Computers & Mathematics with Applications 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Collectanea Mathematica 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 Kodai Mathematical Journal 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Topology and its Applications 1 Information and Computation 1 Journal of Automated Reasoning 1 Applied Mathematics Letters 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Vestnik St. Petersburg University. Mathematics 1 Combinatorics, Probability and Computing 1 Annales Mathématiques Blaise Pascal 1 Advances in Applied Clifford Algebras 1 Annales Mathematicae Silesianae 1 Advances in Geometry 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Proceedings of the Japan Academy 1 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 1 Annali della Scuola Normale Superiore di Pisa. II. Ser 1 International Electronic Journal of Algebra (IEJA) 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Research in Number Theory 1 Algebraic Combinatorics all top 5 Cited in 27 Fields 78 Number theory (11-XX) 70 Field theory and polynomials (12-XX) 30 Associative rings and algebras (16-XX) 25 Commutative algebra (13-XX) 25 Algebraic geometry (14-XX) 18 Computer science (68-XX) 14 Group theory and generalizations (20-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Combinatorics (05-XX) 7 Functions of a complex variable (30-XX) 6 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 4 \(K\)-theory (19-XX) 3 Topological groups, Lie groups (22-XX) 3 Algebraic topology (55-XX) 2 Category theory; homological algebra (18-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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