Edit Profile (opens in new tab) Gaglione, Anthony M. Co-Author Distance Author ID: gaglione.anthony-m Published as: Gaglione, Anthony M.; Gaglione, Anthony; Gaglione, A. M.; Gaglione, A. more...less Documents Indexed: 73 Publications since 1974, including 5 Books and 2 Additional arXiv Preprints 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 23 Co-Authors with 73 Joint Publications 601 Co-Co-Authors all top 5 Co-Authors 3 single-authored 62 Spellman, Dennis 33 Fine, Benjamin L. 19 Rosenberger, Gerhard 11 Lipschutz, Seymour 8 Myasnikov, Alexei G. 7 Waldinger, Hermann V. 3 Baumslag, Gilbert 3 Moldenhauer, Anja I. S. 2 Jackson, David A. 1 Anshel, Michael 1 Baginski, Paul 1 Bencsáth, Katalin A. 1 Benkart, Georgia McClure 1 Bogopolski, Oleg 1 Fine, Ben 1 Joyner, David 1 Kidwell, Mark Elliot 1 Kreuzer, Martin 1 Meyerson, Mark D. 1 Remeslennikov, Vladimir Nikanorovich 1 Röhl, Frank 1 Tang, Francis C. Y. 1 Wardlaw, William P. all top 5 Serials 7 Communications in Algebra 6 Houston Journal of Mathematics 6 Journal of Group Theory 4 Groups, Complexity, Cryptology 3 Journal of Algebra 3 De Gruyter Textbook 2 Algebra Colloquium 2 Algebra and Discrete Mathematics 2 Contemporary Mathematics 1 Bulletin of the Australian Mathematical Society 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Transactions of the American Mathematical Society 1 JP Journal of Algebra, Number Theory and Applications 1 De Gruyter Expositions in Mathematics all top 5 Fields 72 Group theory and generalizations (20-XX) 30 Mathematical logic and foundations (03-XX) 7 General and overarching topics; collections (00-XX) 6 General algebraic systems (08-XX) 4 Field theory and polynomials (12-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 104 times in 73 Documents Cited by ▼ Year ▼ A classification of fully residually free groups of rank three or less. Zbl 0899.20009 Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis 18 1998 Principal ideals and associate rings. Zbl 1046.13004 Spellman, Dennis; Benkart, Georgia M.; Gaglione, Anthony M.; Joyner, W. David; Kidwell, Mark E.; Meyerson, Mark D.; Wardlaw, William P. 10 2002 Factor groups of the lower central series for spherical free products. Zbl 0314.20025 Gaglione, Anthony M. 7 1975 Some model theory of free groups and free algebras. Zbl 0806.20001 Gaglione, Anthony M.; Spellman, Dennis 6 1993 \(n\)-free groups and questions about universally free groups. Zbl 0846.20025 Fine, Benjamin; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis 5 1995 Basic commutators as relators. Zbl 1001.20028 Jackson, David A.; Gaglione, Anthony M.; Spellman, Dennis 5 2002 Every ‘universally free’ group is tree-free. Zbl 0842.20023 Gaglione, Anthony M.; Spellman, Dennis 4 1993 Even more model theory of free groups. Zbl 0945.20507 Gaglione, Anthony M.; Spellman, Dennis 4 1993 The elementary theory of groups. A guide through the proofs of the Tarski conjectures. Zbl 1322.20001 Fine, Benjamin; Gaglione, Anthony; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis 4 2014 Almost locally free groups and a theorem of Magnus: some questions. Zbl 1196.20036 Gaglione, Anthony M.; Lipschutz, Seymour; Spellman, Dennis 3 2009 Discriminating groups. Zbl 0992.20021 Fine, Benjamin; Myasnikov, Alexei G.; Gaglione, Anthony M.; Spellman, Dennis 3 2001 The persistence of universal formulae in free algebras. Zbl 0607.08005 Gaglione, Anthony M.; Spellman, Dennis 3 1987 Generalizations of free groups: Some questions. Zbl 0813.20023 Gaglione, A. M.; Spellman, D. 3 1994 Weight five basic commutators as relators. Zbl 1209.20032 Jackson, David A.; Gaglione, Anthony M.; Spellman, Dennis 3 2010 More model theory of free groups. Zbl 0837.20001 Gaglione, Anthony M.; Spellman, Dennis 2 1995 Parametric words and models of the elementary theory of non-Abelian free groups. Zbl 0846.20026 Gaglione, Anthony M.; Spellman, Dennis 2 1995 Extending Witt’s formula to free Abelian by nilpotent groups. Zbl 0692.20026 Gaglione, Anthony M.; Spellman, Dennis 2 1989 On free products of finitely generated Abelian groups. Zbl 0288.20040 Gaglione, Anthony M. 2 1974 On nilpotent products of cyclic groups reexamined by the commutator calculus. Zbl 0308.20043 Waldinger, Hermann V.; Gaglione, Anthony M. 2 1975 Formal power series representations of free exponential groups. Zbl 0871.20020 Gaglione, A. M.; Myasnikov, A. G.; Remeslennikov, V. N.; Spellman, D. 2 1997 Something for nothing: some consequences of the solution of the Tarski problems. Zbl 1362.20023 Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis 2 2015 Groups whose universal theory is axiomatizable by quasi-identities. Zbl 1002.20017 Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei; Spellman, Dennis 2 2002 On CT and CSA groups and related ideas. Zbl 1375.20027 Fine, Ben; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis 2 2016 Aspects of the theory of free groups. Zbl 0963.20010 Bencsath, Katalin; Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei G.; Roehl, Frank; Rosenberger, Gerhard; Spellman, Dennis 1 2000 Almost locally free groups and the genus question. Zbl 0907.20002 Gaglione, Anthony M.; Spellman, Dennis 1 1998 The axiomatic closure of the class of discriminating groups. Zbl 1080.20025 Fine, Benjamin; Gaglione, Anthony M.; Spellman, Dennis 1 2004 A generalization of the bracketing process applied in the commutator calculus. Zbl 0432.20031 Gaglione, Anthony M.; Waldinger, Hermann V. 1 1980 Does Lyndon’s length function imply the universal theory of free groups? Zbl 0856.20003 Gaglione, Anthony M.; Spellman, Dennis 1 1994 On elementary free groups. Zbl 1344.20060 Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis 1 2015 On Turner’s theorem and first-order theory. Zbl 1392.20025 Fine, Benjamin; Gaglione, Anthony; Lipschutz, Seymour; Spellman, Dennis 1 2017 Orderable groups, elementary theory, and the Kaplansky conjecture. Zbl 1507.20019 Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis 1 2018 Orderable groups, elementary theory, and the Kaplansky conjecture. Zbl 1507.20019 Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis 1 2018 On Turner’s theorem and first-order theory. Zbl 1392.20025 Fine, Benjamin; Gaglione, Anthony; Lipschutz, Seymour; Spellman, Dennis 1 2017 On CT and CSA groups and related ideas. Zbl 1375.20027 Fine, Ben; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis 2 2016 Something for nothing: some consequences of the solution of the Tarski problems. Zbl 1362.20023 Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis 2 2015 On elementary free groups. Zbl 1344.20060 Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis 1 2015 The elementary theory of groups. A guide through the proofs of the Tarski conjectures. Zbl 1322.20001 Fine, Benjamin; Gaglione, Anthony; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis 4 2014 Weight five basic commutators as relators. Zbl 1209.20032 Jackson, David A.; Gaglione, Anthony M.; Spellman, Dennis 3 2010 Almost locally free groups and a theorem of Magnus: some questions. Zbl 1196.20036 Gaglione, Anthony M.; Lipschutz, Seymour; Spellman, Dennis 3 2009 The axiomatic closure of the class of discriminating groups. Zbl 1080.20025 Fine, Benjamin; Gaglione, Anthony M.; Spellman, Dennis 1 2004 Principal ideals and associate rings. Zbl 1046.13004 Spellman, Dennis; Benkart, Georgia M.; Gaglione, Anthony M.; Joyner, W. David; Kidwell, Mark E.; Meyerson, Mark D.; Wardlaw, William P. 10 2002 Basic commutators as relators. Zbl 1001.20028 Jackson, David A.; Gaglione, Anthony M.; Spellman, Dennis 5 2002 Groups whose universal theory is axiomatizable by quasi-identities. Zbl 1002.20017 Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei; Spellman, Dennis 2 2002 Discriminating groups. Zbl 0992.20021 Fine, Benjamin; Myasnikov, Alexei G.; Gaglione, Anthony M.; Spellman, Dennis 3 2001 Aspects of the theory of free groups. Zbl 0963.20010 Bencsath, Katalin; Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei G.; Roehl, Frank; Rosenberger, Gerhard; Spellman, Dennis 1 2000 A classification of fully residually free groups of rank three or less. Zbl 0899.20009 Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis 18 1998 Almost locally free groups and the genus question. Zbl 0907.20002 Gaglione, Anthony M.; Spellman, Dennis 1 1998 Formal power series representations of free exponential groups. Zbl 0871.20020 Gaglione, A. M.; Myasnikov, A. G.; Remeslennikov, V. N.; Spellman, D. 2 1997 \(n\)-free groups and questions about universally free groups. Zbl 0846.20025 Fine, Benjamin; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis 5 1995 More model theory of free groups. Zbl 0837.20001 Gaglione, Anthony M.; Spellman, Dennis 2 1995 Parametric words and models of the elementary theory of non-Abelian free groups. Zbl 0846.20026 Gaglione, Anthony M.; Spellman, Dennis 2 1995 Generalizations of free groups: Some questions. Zbl 0813.20023 Gaglione, A. M.; Spellman, D. 3 1994 Does Lyndon’s length function imply the universal theory of free groups? Zbl 0856.20003 Gaglione, Anthony M.; Spellman, Dennis 1 1994 Some model theory of free groups and free algebras. Zbl 0806.20001 Gaglione, Anthony M.; Spellman, Dennis 6 1993 Every ‘universally free’ group is tree-free. Zbl 0842.20023 Gaglione, Anthony M.; Spellman, Dennis 4 1993 Even more model theory of free groups. Zbl 0945.20507 Gaglione, Anthony M.; Spellman, Dennis 4 1993 Extending Witt’s formula to free Abelian by nilpotent groups. Zbl 0692.20026 Gaglione, Anthony M.; Spellman, Dennis 2 1989 The persistence of universal formulae in free algebras. Zbl 0607.08005 Gaglione, Anthony M.; Spellman, Dennis 3 1987 A generalization of the bracketing process applied in the commutator calculus. Zbl 0432.20031 Gaglione, Anthony M.; Waldinger, Hermann V. 1 1980 Factor groups of the lower central series for spherical free products. Zbl 0314.20025 Gaglione, Anthony M. 7 1975 On nilpotent products of cyclic groups reexamined by the commutator calculus. Zbl 0308.20043 Waldinger, Hermann V.; Gaglione, Anthony M. 2 1975 On free products of finitely generated Abelian groups. Zbl 0288.20040 Gaglione, Anthony M. 2 1974 all cited Publications top 5 cited Publications all top 5 Cited by 93 Authors 12 Fine, Benjamin L. 12 Gaglione, Anthony M. 12 Rosenberger, Gerhard 11 Spellman, Dennis 7 Myasnikov, Alexei G. 6 Remeslennikov, Vladimir Nikanorovich 4 Baumslag, Gilbert 4 Ciobanu, Laura 4 Guaschi, John 3 Bellingeri, Paolo 3 Kharlampovich, Olga G. 2 Anderson, Daniel D. 2 Chapuis, Olivier 2 Gonçalves, Daciberg Lima 2 Guirardel, Vincent 2 Hazrat, Roozbeh 2 Jackson, David A. 2 Juett, Jason Robert 2 Lipschutz, Seymour 2 Ould Houcine, Abderezak 2 Roman’kov, Vitaly Anatol’evich 2 Rosenberger, Anja 2 Timoshenko, Evgeniĭ Iosifovich 2 Touikan, Nicholas W. M. 2 Vavilov, Nikolaĭ Aleksandrovich 2 Zhang, Zuhong 2 Zhou, Yiqiang 1 Aliabad, Ali Rezaie 1 Axtell, Michael C. 1 Bardakov, Valeriĭ Georgievich 1 Bartholdi, Laurent 1 Blyth, Russell D. 1 Bogopolski, Oleg 1 Boyer, Steven 1 Bridson, Martin R. 1 Bruch, H. E. 1 Budkin, Aleksandr Ivanovich 1 Bussman, Christine 1 Champetier, Christophe 1 Chun, Sangmin 1 Cyr, Van 1 Daniyarova, Evelina Yur’Evna 1 de Miranda e Pereiro, Carolina 1 Dsouza, Raisa 1 Du, Shaofei 1 Edmonds, Ranthony A. C. 1 Farrokhpay, Farimah 1 Fine, Ben 1 Forman, Sylvia J. 1 Franks, John M. 1 Gervais, Sylvain 1 Ghanem, Manal 1 Grigorchuk, Rostislav Ivanovich 1 Gutierrez, Jhoel S. 1 Guyot, Luc 1 Howie, James 1 Jaligot, Eric 1 Kapovich, Ilya 1 Kra, Bryna 1 Louder, Larsen 1 Majewicz, Stephen 1 Martino, Armando 1 Miguel, Celino 1 Mikhaĭlov, Roman Valer’evich 1 Moldenhauer, Anja I. S. 1 Mooney, Christopher Park 1 Nasehpour, Peyman 1 Noskov, Guennadi A. 1 O Rourke, Shane 1 O’Neill, John C. 1 Pedigo, Mark 1 Petite, Samuel 1 Ren, Shiquan 1 Rolfsen, Dale 1 Satoh, Takao 1 Saveliev, Denis I. 1 Serbin, Denis E. 1 Shapirovsky, Ilya B. 1 Shumyatsky, Pavel 1 Siavoshi, Mohammad Ali 1 Stepanov, Alexeĭ Vladimirovich 1 Stickles, Joe 1 Šuniḱ, Zoran 1 Uma, Vikraman 1 Weigel, Thomas S. 1 Wiest, Bertold 1 Wu, Chengyuan 1 Wu, Jie 1 Xia, Guoli 1 Xia, Kelin 1 Yuan, Kai 1 Zalesskii, Pavel 1 Zapata, Theo all top 5 Cited in 35 Serials 11 Communications in Algebra 8 Journal of Algebra 6 Journal of Group Theory 3 Rocky Mountain Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 2 Israel Journal of Mathematics 2 Glasgow Mathematical Journal 2 Journal of Pure and Applied Algebra 2 Journal of Soviet Mathematics 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Groups, Geometry, and Dynamics 2 Groups, Complexity, Cryptology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Geometriae Dedicata 1 Journal of Number Theory 1 The Journal of Symbolic Logic 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Studia Logica 1 Topology and its Applications 1 International Journal of Algebra and Computation 1 Journal of Knot Theory and its Ramifications 1 Journal of Algebraic Combinatorics 1 Algebra Colloquium 1 The New York Journal of Mathematics 1 Geometry & Topology 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Modern Dynamics 1 Advances in Fuzzy Systems 1 Afrika Matematika 1 International Journal of Group Theory all top 5 Cited in 17 Fields 61 Group theory and generalizations (20-XX) 14 Mathematical logic and foundations (03-XX) 11 Manifolds and cell complexes (57-XX) 8 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Algebraic topology (55-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 \(K\)-theory (19-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) Citations by Year