Edit Profile (opens in new tab) Swallow, John R. Co-Author Distance Author ID: swallow.john-r Published as: Swallow, John; Swallow, John R.; Swallow, J. more...less Documents Indexed: 32 Publications since 1994, including 1 Book Co-Authors: 14 Co-Authors with 25 Joint Publications 176 Co-Co-Authors all top 5 Co-Authors 7 single-authored 21 Mináč, Ján 11 Schultz, Andrew 8 Lemire, Nicole Marie Anne 2 Labute, John P. 1 Benson, David John 1 Bhandari, Ganesh 1 Black, Elena V. 1 Chemotti, Frank 1 Dwilewicz, Roman J. 1 Grundman, Helen G. 1 Smith, Tara L. 1 Sonn, Jack 1 Thiem, F. Nathaniel 1 Topaz, Adam all top 5 Serials 4 Communications in Algebra 4 Journal of Algebra 3 The New York Journal of Mathematics 2 Israel Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Transactions of the American Mathematical Society 1 American Mathematical Monthly 1 Annales des Sciences Mathématiques du Québec 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Expositiones Mathematicae 1 Journal de Théorie des Nombres de Bordeaux all top 5 Fields 30 Field theory and polynomials (12-XX) 13 Number theory (11-XX) 5 Associative rings and algebras (16-XX) 4 Group theory and generalizations (20-XX) 3 \(K\)-theory (19-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 131 times in 57 Documents Cited by ▼ Year ▼ Groups of order 16 as Galois groups. Zbl 0838.12004Grundman, Helen G.; Smith, Tara L.; Swallow, John R. 18 1995 Galois module structure of \(p\)th-power classes of extensions of degree \(p\). Zbl 1040.12006Mináč, Ján; Swallow, John 13 2003 Galois embedding problems with cyclic quotient of order \(p\). Zbl 1069.12002Mináč, Ján; Swallow, John 12 2005 Detecting pro-\(p\)-groups that are not absolute Galois groups. Zbl 1204.12007Benson, Dave; Lemire, Nicole; Mináč, Ján; Swallow, John 10 2007 Galois module structure of \(p\)th-power classes of cyclic extensions of degree \(p^n\). Zbl 1157.12002Mináč, Ján; Schultz, Andrew; Swallow, John 9 2006 Automatic realization of Galois groups with cyclic quotient of order \(p^n\). Zbl 1180.12002Mináč, Ján; Schultz, Andrew; Swallow, John 9 2008 Central \(p\)-extensions of \((p, p, \dots, p)\)-type Galois groups. Zbl 0870.12005Swallow, John R. 8 1996 Quadratic corestriction, \(C_2\)-embedding problems, and explicit construction. Zbl 1019.12001Swallow, John R.; Thiem, F. Nathaniel 7 2002 Galois module structure of Galois cohomology and partial Euler-Poincaré characteristics. Zbl 1204.11172Lemire, Nicole; Mináč, Ján; Swallow, John 6 2007 Galois module structure of \((\ell ^n)\)th classes of fields. Zbl 1301.12003Mináč, Ján; Swallow, John; Topaz, Adam 5 2014 Galois module structure of Galois cohomology for embeddable cyclic extensions of degree \(p^n\). Zbl 1213.12008Lemire, N.; Mináč, J.; Schultz, A.; Swallow, J. 5 2010 Demuškin groups, Galois modules, and the elementary type conjecture. Zbl 1168.12003Labute, John; Lemire, Nicole; Mináč, Ján; Swallow, John 5 2006 Galois module structure of Milnor \(K\)-theory mod \(p^s\) in characteristic \(p\). Zbl 1148.19002Mináč, Ján; Schultz, Andrew; Swallow, John 4 2008 Solutions to central embedding problems are constructible. Zbl 0862.12004Swallow, John R. 3 1996 Embedding problems and the \(C_{16}\to C_ 8\) obstruction. Zbl 0828.12005Swallow, John R. 3 1995 Galois module structure of Milnor \(K\)-theory in characteristic \(p\). Zbl 1148.19001Bhandari, Ganesh; Lemire, Nicole; Mináč, Ján; Swallow, John 3 2008 Hilbert 90 for biquadratic extensions. Zbl 1137.12004Dwilewicz, Roman; Mináč, Ján; Schultz, Andrew; Swallow, John 3 2007 Galois modules appearing as \(p\)th-power classes of units of extensions of degree \(p\). Zbl 1128.12005Mináč, Ján; Swallow, John 2 2005 Exploratory Galois theory. Zbl 1056.12005Swallow, John 1 2004 Explicit construction of \(\text{PSL} (2,7)\) fields over \(\mathbb{Q} (t)\) embeddable in \(\text{SL} (2,7)\) fields. Zbl 0863.12007Swallow, John R. 1 1996 Quadratic descent for quaternion algebras. Zbl 1004.12001Swallow, John R. 1 2001 Cohomological dimension and Schreier’s formula in Galois cohomology. Zbl 1204.12008Labute, John; Lemire, Nicole; Minač, Ján; Swallow, John 1 2007 When is Galois cohomology free or trivial? Zbl 1159.12312Lemire, Nicole; Mináč, Ján; Swallow, John 1 2005 On the indecomposability of a remarkable new family of modules appearing in Galois theory. Zbl 1490.12003Mináč, Ján; Schultz, Andrew; Swallow, John 1 2022 On the indecomposability of a remarkable new family of modules appearing in Galois theory. Zbl 1490.12003Mináč, Ján; Schultz, Andrew; Swallow, John 1 2022 Galois module structure of \((\ell ^n)\)th classes of fields. Zbl 1301.12003Mináč, Ján; Swallow, John; Topaz, Adam 5 2014 Galois module structure of Galois cohomology for embeddable cyclic extensions of degree \(p^n\). Zbl 1213.12008Lemire, N.; Mináč, J.; Schultz, A.; Swallow, J. 5 2010 Automatic realization of Galois groups with cyclic quotient of order \(p^n\). Zbl 1180.12002Mináč, Ján; Schultz, Andrew; Swallow, John 9 2008 Galois module structure of Milnor \(K\)-theory mod \(p^s\) in characteristic \(p\). Zbl 1148.19002Mináč, Ján; Schultz, Andrew; Swallow, John 4 2008 Galois module structure of Milnor \(K\)-theory in characteristic \(p\). Zbl 1148.19001Bhandari, Ganesh; Lemire, Nicole; Mináč, Ján; Swallow, John 3 2008 Detecting pro-\(p\)-groups that are not absolute Galois groups. Zbl 1204.12007Benson, Dave; Lemire, Nicole; Mináč, Ján; Swallow, John 10 2007 Galois module structure of Galois cohomology and partial Euler-Poincaré characteristics. Zbl 1204.11172Lemire, Nicole; Mináč, Ján; Swallow, John 6 2007 Hilbert 90 for biquadratic extensions. Zbl 1137.12004Dwilewicz, Roman; Mináč, Ján; Schultz, Andrew; Swallow, John 3 2007 Cohomological dimension and Schreier’s formula in Galois cohomology. Zbl 1204.12008Labute, John; Lemire, Nicole; Minač, Ján; Swallow, John 1 2007 Galois module structure of \(p\)th-power classes of cyclic extensions of degree \(p^n\). Zbl 1157.12002Mináč, Ján; Schultz, Andrew; Swallow, John 9 2006 Demuškin groups, Galois modules, and the elementary type conjecture. Zbl 1168.12003Labute, John; Lemire, Nicole; Mináč, Ján; Swallow, John 5 2006 Galois embedding problems with cyclic quotient of order \(p\). Zbl 1069.12002Mináč, Ján; Swallow, John 12 2005 Galois modules appearing as \(p\)th-power classes of units of extensions of degree \(p\). Zbl 1128.12005Mináč, Ján; Swallow, John 2 2005 When is Galois cohomology free or trivial? Zbl 1159.12312Lemire, Nicole; Mináč, Ján; Swallow, John 1 2005 Exploratory Galois theory. Zbl 1056.12005Swallow, John 1 2004 Galois module structure of \(p\)th-power classes of extensions of degree \(p\). Zbl 1040.12006Mináč, Ján; Swallow, John 13 2003 Quadratic corestriction, \(C_2\)-embedding problems, and explicit construction. Zbl 1019.12001Swallow, John R.; Thiem, F. Nathaniel 7 2002 Quadratic descent for quaternion algebras. Zbl 1004.12001Swallow, John R. 1 2001 Central \(p\)-extensions of \((p, p, \dots, p)\)-type Galois groups. Zbl 0870.12005Swallow, John R. 8 1996 Solutions to central embedding problems are constructible. Zbl 0862.12004Swallow, John R. 3 1996 Explicit construction of \(\text{PSL} (2,7)\) fields over \(\mathbb{Q} (t)\) embeddable in \(\text{SL} (2,7)\) fields. Zbl 0863.12007Swallow, John R. 1 1996 Groups of order 16 as Galois groups. Zbl 0838.12004Grundman, Helen G.; Smith, Tara L.; Swallow, John R. 18 1995 Embedding problems and the \(C_{16}\to C_ 8\) obstruction. Zbl 0828.12005Swallow, John R. 3 1995 all cited Publications top 5 cited Publications all top 5 Cited by 49 Authors 19 Mináč, Ján 12 Swallow, John R. 8 Schultz, Andrew 5 Grundman, Helen G. 5 Michailov, Ivo Michailov 5 Nguyêñ Duy Tân 4 Smith, Tara L. 3 Lemire, Nicole Marie Anne 3 Quadrelli, Claudio 2 Chebolu, Sunil K. 2 Efrat, Ido 2 Massy, Richard 2 Matzri, Eliyahu 2 Shusterman, Mark 2 Sodaïgui, Bouchaïb 2 Zalesskii, Pavel 1 Bary-Soroker, Lior 1 Berg, Jennifer 1 Black, Elena V. 1 Blumer, Simone 1 Cassella, Alberto 1 Chemotti, Frank 1 Crespo Vicente, Teresa 1 Drees, Christof 1 Epkenhans, Martin 1 Guillot, Pierre-Louis 1 Jaikin-Zapirain, Andrei 1 Jarden, Moshe 1 König, Joachim 1 Krashen, Daniel 1 Krüskemper, Martin 1 Labute, John P. 1 Lemmermeyer, Franz Josef 1 Lundström, Patrik 1 Mazhouda, Kamel 1 Monge, Maurizio 1 Monier-Derviaux, Sylvie 1 Neftin, Danny 1 Quer, Jordi 1 Rogelstad, Michael 1 Sakovics, Dmitrijs 1 Snopce, Ilir 1 Stewart, Grisha L. 1 Szymiczek, Kazimierz 1 Taous, Mohammed 1 Thiem, F. Nathaniel 1 Topaz, Adam 1 Vela, Montserrat 1 Ziapkov, Nikola Petkov all top 5 Cited in 23 Serials 15 Journal of Algebra 6 Transactions of the American Mathematical Society 5 Advances in Mathematics 3 Communications in Algebra 3 Journal of Number Theory 3 Proceedings of the American Mathematical Society 3 Journal de Théorie des Nombres de Bordeaux 3 Central European Journal of Mathematics 1 Israel Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal of Symbolic Computation 1 Journal of Group Theory 1 Algebras and Representation Theory 1 Journal of the European Mathematical Society (JEMS) 1 International Journal of Number Theory all top 5 Cited in 8 Fields 47 Field theory and polynomials (12-XX) 16 Number theory (11-XX) 12 Group theory and generalizations (20-XX) 6 Algebraic topology (55-XX) 5 Associative rings and algebras (16-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Citations by Year