Edit Profile (opens in new tab) Burns, Robert G. Co-Author Distance Author ID: burns.robert-g Published as: Burns, R. G.; Burns, Robert G. Documents Indexed: 45 Publications since 1967 2 Contributions as Editor · 1 Further Contribution Co-Authors: 26 Co-Authors with 33 Joint Publications 474 Co-Co-Authors all top 5 Co-Authors 13 single-authored 6 Brunner, Andrew Michael 5 Macedońska, Olga 5 Medvedev, Yuri A. 4 Kam, S.-M. 4 Solitar, Donald M. 3 Chau, T. C. 3 Oates-Williams, Sheila 2 Edmunds, Charles C. 2 Farouqi, I. H. 2 Herfort, Wolfgang N. 2 Okoh, Frank 2 Steinhaus, Hugo 2 Szymaniec, Irena 2 Weron, Aleksander 2 Wiegold, James 2 Zalesskii, Pavel 1 Birch, Bryan John 1 Formanek, Edward W. 1 Hale, V. W. D. 1 Imrich, Wilfried 1 Kargapolov, Mikhail Ivanovich 1 Karrass, Abraham 1 Lawrence, John W. 1 Merzlyakov, Yu. I. 1 Neumann, Peter Michael 1 Oancea, Daniel 1 Pi, Lian 1 Servatius, Brigitte 1 Smith, Howard all top 5 Serials 6 Bulletin of the Australian Mathematical Society 4 Canadian Journal of Mathematics 4 Canadian Mathematical Bulletin 3 Archiv der Mathematik 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Journal of the Australian Mathematical Society 2 Journal of Algebra 2 Journal of the Australian Mathematical Society. Series A 2 Journal of Group Theory 2 Vita Mathematica 1 Communications in Algebra 1 Algebra and Logic 1 Algebra Universalis 1 Bulletin of the London Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Operational Research Society 1 Journal of Pure and Applied Algebra 1 Transactions of the American Mathematical Society 1 Graduate Texts in Mathematics all top 5 Fields 40 Group theory and generalizations (20-XX) 2 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 327 times in 263 Documents Cited by ▼ Year ▼ Fundamentals of the theory of groups. Transl. from the 2nd Russian ed. by Robert G. Burns. Zbl 0549.20001 Kargapolov, M. I.; Merzljakov, Ju. I. 196 1979 A note on group rings of certain torsion-free groups. Zbl 0244.16006 Burns, R. G.; Hale, V. W. D. 35 1972 On finitely generated subgroups of free products. Zbl 0218.20026 Burns, R. G. 27 1971 A note on groups with separable finitely generated subgroups. Zbl 0613.20018 Burns, R. G.; Karrass, A.; Solitar, D. 27 1987 Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties. Zbl 0886.20022 Burns, Robert G.; Macedońska, Olga; Medvedev, Yuri 25 1997 A note on free groups. Zbl 0184.04001 Burns, R. G. 19 1969 The subgroup separability of free products of two free groups with cyclic amalgamation. Zbl 0571.20015 Brunner, A. M.; Burns, R. G.; Solitar, D. 18 1984 A note on Engel groups and local nilpotence. Zbl 0898.20021 Burns, R. G.; Medvedev, Yuri 16 1998 Balanced presentations of the trivial group. Zbl 0796.20022 Burns, R. G.; Macedonska, Olga 15 1993 Group laws implying virtual nilpotence. Zbl 1066.20030 Burns, R. G.; Medvedev, Yuri 15 2003 On the orbit-sizes of permutation groups containing elements separating finite subsets. Zbl 0334.20003 Birch, B. J.; Burns, R. G.; Macdonald, Sheila Oates; Neumann, Peter M. 13 1976 On the intersection of finitely generated subgroups of a free group. Zbl 0197.29801 Burns, R. G. 11 1971 On the finitely generated subgroups of an amalgamated product of two groups. Zbl 0254.20020 Burns, R. G. 11 1972 On almost primitive elements of free groups with an application to Fuchsian groups. Zbl 0783.20014 Brunner, A. M.; Burns, R. G.; Oates-Williams, Sheila 9 1993 Verbal wreath products and certain product varieties of groups. Zbl 0152.00303 Burns, R. G. 9 1967 On the number of normal subgroups of an uncountable soluble group. Zbl 0528.20001 Burns, R. G.; Okoh, Frank; Smith, Howard; Wiegold, James 7 1984 Central idempotents in group rings. Zbl 0209.33401 Burns, R. G. 7 1970 Finitely generated subgroups of HNN groups. Zbl 0238.20033 Burns, R. G. 7 1973 On the rank of intersection of subgroups of a free product of groups. Zbl 0896.20021 Burns, R. G.; Chau, T. C.; Kam, S.-M. 6 1998 Remarks on the intersection of finitely generated subgroups of a free group. Zbl 0545.20015 Burns, R. G.; Imrich, Wilfried; Servatius, Brigitte 5 1985 Maximal normal subgroups of the integral linear group of countable degree. Zbl 0376.20030 Burns, R. G.; Farouqi, I. H. 5 1976 Groups in which every finitely generated subgroup is almost a free factor. Zbl 0393.20017 Brunner, A. M.; Burns, R. G. 4 1979 On commutator equalities and stabilizers in free groups. Zbl 0356.20040 Burns, R. G.; Edmunds, C. C.; Farouqi, I. H. 4 1976 Generators for the bounded automorphisms of infinite-rank free nilpotent groups. Zbl 0684.20028 Burns, R. G.; Pi, Lian 4 1989 Recalcitrance in groups. Zbl 0938.20026 Burns, R. G.; Herfort, W. N.; Kam, S.-M.; Macedońska, O.; Zalesskii, P. A. 3 1999 On the question of the Hopficity of the direct product of a Hopfian with an infinite cyclic group. Zbl 0288.20054 Burns, R. G. 3 1973 A wreath tower construction of countably infinite, locally finite groups. Zbl 0157.05403 Burns, R. G. 3 1968 Analytic relatively free pro-\(p\) groups. Zbl 1073.20021 Burns, R. G.; Medvedev, Yuri 2 2004 The equation \(s^{-1}t^{-1}st=u^{_1}v^{-1}uv\) in a free product of groups. Zbl 0329.20022 Burns, R. G.; Edmunds, C. C.; Formanek, Edward 2 1977 A proof of the Freiheitssatz and the Cohen-Lyndon theorem for one-relator groups. Zbl 0273.20028 Burns, R. G. 2 1974 On the rank of the intersection of subgroups of a Fuchsian group. Zbl 0294.20043 Burns, R. G. 2 1974 On the intersection of double cosets in free groups, with an application to amalgamated products. Zbl 0921.20029 Burns, R. G.; Kam, S.-M. 2 1998 On the number of quotients, of one kind or another, of the modular group. Zbl 0409.20030 Brunner, A. M.; Burns, R. G.; Wiegold, James 2 1979 Two remarks on the group property of Howson. Zbl 0448.20030 Burns, R. G.; Brunner, A. M. 2 1980 Multiple shift scheduling of workforce on four-day workweeks. Zbl 1054.90584 Burns, R.; Narasimhan, R. 1 1999 The indices of torsion-free subgroups of Fuchsian groups. Zbl 0526.20039 Burns, R. G.; Solitar, Donald 1 1983 Varieties of groups and normal-subgroup lattices – a survey. Zbl 0815.20016 Burns, R. G.; Oates-Williams, S. 1 1994 On a conjecture of Tekla Lewin on verbal subgroups of free groups. Zbl 0184.04002 Burns, R. G. 1 1969 Mathematician for all seasons. Recollections and notes. Vol. 1 (1887–1945). Edited by Robert G. Burns, Irena Szymaniec and Aleksander Weron. Translated from the Polish by Abe Shenitzer. Zbl 1331.01002 Steinhaus, Hugo 1 2015 Another proof of the Grushko-Neumann-Wagner theorem for free products. Zbl 0549.20014 Burns, R. G.; Chau, T. C. 1 1984 Recalcitrance in groups. II. Zbl 1245.20031 Burns, Robert G.; Oancea, Daniel 1 2012 Mathematician for all seasons. Recollections and notes. Vol. 1 (1887–1945). Edited by Robert G. Burns, Irena Szymaniec and Aleksander Weron. Translated from the Polish by Abe Shenitzer. Zbl 1331.01002 Steinhaus, Hugo 1 2015 Recalcitrance in groups. II. Zbl 1245.20031 Burns, Robert G.; Oancea, Daniel 1 2012 Analytic relatively free pro-\(p\) groups. Zbl 1073.20021 Burns, R. G.; Medvedev, Yuri 2 2004 Group laws implying virtual nilpotence. Zbl 1066.20030 Burns, R. G.; Medvedev, Yuri 15 2003 Recalcitrance in groups. Zbl 0938.20026 Burns, R. G.; Herfort, W. N.; Kam, S.-M.; Macedońska, O.; Zalesskii, P. A. 3 1999 Multiple shift scheduling of workforce on four-day workweeks. Zbl 1054.90584 Burns, R.; Narasimhan, R. 1 1999 A note on Engel groups and local nilpotence. Zbl 0898.20021 Burns, R. G.; Medvedev, Yuri 16 1998 On the rank of intersection of subgroups of a free product of groups. Zbl 0896.20021 Burns, R. G.; Chau, T. C.; Kam, S.-M. 6 1998 On the intersection of double cosets in free groups, with an application to amalgamated products. Zbl 0921.20029 Burns, R. G.; Kam, S.-M. 2 1998 Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties. Zbl 0886.20022 Burns, Robert G.; Macedońska, Olga; Medvedev, Yuri 25 1997 Varieties of groups and normal-subgroup lattices – a survey. Zbl 0815.20016 Burns, R. G.; Oates-Williams, S. 1 1994 Balanced presentations of the trivial group. Zbl 0796.20022 Burns, R. G.; Macedonska, Olga 15 1993 On almost primitive elements of free groups with an application to Fuchsian groups. Zbl 0783.20014 Brunner, A. M.; Burns, R. G.; Oates-Williams, Sheila 9 1993 Generators for the bounded automorphisms of infinite-rank free nilpotent groups. Zbl 0684.20028 Burns, R. G.; Pi, Lian 4 1989 A note on groups with separable finitely generated subgroups. Zbl 0613.20018 Burns, R. G.; Karrass, A.; Solitar, D. 27 1987 Remarks on the intersection of finitely generated subgroups of a free group. Zbl 0545.20015 Burns, R. G.; Imrich, Wilfried; Servatius, Brigitte 5 1985 The subgroup separability of free products of two free groups with cyclic amalgamation. Zbl 0571.20015 Brunner, A. M.; Burns, R. G.; Solitar, D. 18 1984 On the number of normal subgroups of an uncountable soluble group. Zbl 0528.20001 Burns, R. G.; Okoh, Frank; Smith, Howard; Wiegold, James 7 1984 Another proof of the Grushko-Neumann-Wagner theorem for free products. Zbl 0549.20014 Burns, R. G.; Chau, T. C. 1 1984 The indices of torsion-free subgroups of Fuchsian groups. Zbl 0526.20039 Burns, R. G.; Solitar, Donald 1 1983 Two remarks on the group property of Howson. Zbl 0448.20030 Burns, R. G.; Brunner, A. M. 2 1980 Fundamentals of the theory of groups. Transl. from the 2nd Russian ed. by Robert G. Burns. Zbl 0549.20001 Kargapolov, M. I.; Merzljakov, Ju. I. 196 1979 Groups in which every finitely generated subgroup is almost a free factor. Zbl 0393.20017 Brunner, A. M.; Burns, R. G. 4 1979 On the number of quotients, of one kind or another, of the modular group. Zbl 0409.20030 Brunner, A. M.; Burns, R. G.; Wiegold, James 2 1979 The equation \(s^{-1}t^{-1}st=u^{_1}v^{-1}uv\) in a free product of groups. Zbl 0329.20022 Burns, R. G.; Edmunds, C. C.; Formanek, Edward 2 1977 On the orbit-sizes of permutation groups containing elements separating finite subsets. Zbl 0334.20003 Birch, B. J.; Burns, R. G.; Macdonald, Sheila Oates; Neumann, Peter M. 13 1976 Maximal normal subgroups of the integral linear group of countable degree. Zbl 0376.20030 Burns, R. G.; Farouqi, I. H. 5 1976 On commutator equalities and stabilizers in free groups. Zbl 0356.20040 Burns, R. G.; Edmunds, C. C.; Farouqi, I. H. 4 1976 A proof of the Freiheitssatz and the Cohen-Lyndon theorem for one-relator groups. Zbl 0273.20028 Burns, R. G. 2 1974 On the rank of the intersection of subgroups of a Fuchsian group. Zbl 0294.20043 Burns, R. G. 2 1974 Finitely generated subgroups of HNN groups. Zbl 0238.20033 Burns, R. G. 7 1973 On the question of the Hopficity of the direct product of a Hopfian with an infinite cyclic group. Zbl 0288.20054 Burns, R. G. 3 1973 A note on group rings of certain torsion-free groups. Zbl 0244.16006 Burns, R. G.; Hale, V. W. D. 35 1972 On the finitely generated subgroups of an amalgamated product of two groups. Zbl 0254.20020 Burns, R. G. 11 1972 On finitely generated subgroups of free products. Zbl 0218.20026 Burns, R. G. 27 1971 On the intersection of finitely generated subgroups of a free group. Zbl 0197.29801 Burns, R. G. 11 1971 Central idempotents in group rings. Zbl 0209.33401 Burns, R. G. 7 1970 A note on free groups. Zbl 0184.04001 Burns, R. G. 19 1969 On a conjecture of Tekla Lewin on verbal subgroups of free groups. Zbl 0184.04002 Burns, R. G. 1 1969 A wreath tower construction of countably infinite, locally finite groups. Zbl 0157.05403 Burns, R. G. 3 1968 Verbal wreath products and certain product varieties of groups. Zbl 0152.00303 Burns, R. G. 9 1967 all cited Publications top 5 cited Publications all top 5 Cited by 288 Authors 18 Shumyatsky, Pavel 10 Macedońska, Olga 9 Burns, Robert G. 9 Ivanov, Sergei Vladimirovich 6 Detomi, Eloisa 5 Acciarri, Cristina 5 Allenby, R. B. J. T. 5 Dicks, Warren 5 Mikaelian, Vahagn H. 5 Mikhalëv, Aleksandr Aleksandrovich 5 Rosenberger, Gerhard 4 Fine, Benjamin L. 4 Gitik, Rita 4 Howie, James 4 Morigi, Marta 4 Oman, Greg G. 4 Rolfsen, Dale 4 Traustason, Gunnar 4 Wise, Daniel T. 4 Zalesskii, Pavel 3 Cameron, Peter Jephson 3 Edjvet, Martin 3 Li, Qianlu 3 Medvedev, Yuri A. 3 Metaftsis, Vasileios 3 Niblo, Graham A. 3 Praeger, Cheryl Elisabeth 3 Raptis, E. 3 Roman’kov, Vitaly Anatol’evich 3 Silveira, Danilo 3 Tang, Chi Yu 3 Ventura Capell, Enric 2 Ateş, Firat 2 Bamberg, John 2 Berrick, A. Jon 2 Boyer, Steven 2 Çevik, Ahmet Sinan 2 Clay, Adam 2 Crosby, Peter G. 2 de Cornulier, Yves 2 de la Harpe, Pierre 2 Fernández-Alcober, Gustavo A. 2 Friedl, Stefan 2 Gaglione, Anthony M. 2 Havas, George 2 Herbst, Thomas 2 Hirshon, Ronald 2 Hołubowski, Waldemar 2 Kam, S.-M. 2 Kapovich, Ilya 2 Khukhro, Evgeniĭ I. 2 Kim, Goansu 2 Klimakov, A. V. 2 Linnell, Peter Arnold 2 Longobardi, Patrizia 2 Macpherson, Dugald 2 Maj, Mercede 2 Mann, Kathryn 2 Margolis, Stuart W. 2 Martino, Armando 2 Matsumoto, Saburo 2 Mikhalëv, Aleksandr Vasil’evich 2 Minasyan, Ashot 2 Mineyev, Igor 2 Paramantzoglou, Panagiotis A. 2 Pride, Stephen James 2 Remeslennikov, Vladimir Nikanorovich 2 Sehgal, Sudarshan Kumar 2 Spellman, Dennis 2 Steinberg, Benjamin 2 Šunić, Zoran 2 Sykiotis, Mihalis 2 Tolstykh, Vladimir A. 2 Tomaszewski, Witold 2 Woeppel, James J. 2 Yu, Jie-Tai 2 Zalesski, Alexandre Efimovich 2 Zhou, Wei 1 Aab, Michael 1 Abdollahi, Alireza 1 Almeida, Kisnney 1 Alperin, Roger Charles 1 Andrew, Naomi 1 Andrunakievich, Vladimir Aleksandrovich 1 Antolín, Yago 1 Araújo, João 1 Arnautov, Vladimir Ivanovich 1 Artamonov, Vyacheslav Aleksandrovich 1 Arzhantseva, Goulnara N. 1 Azarov, Dmitriĭ Nikolaevich 1 Azevedo, João Luiz F. 1 Bailey, Robert F. 1 Bajorska, Beata 1 Bass, Hyman 1 Bassino, Frédérique 1 Baumslag, Gilbert 1 Bell, Jason P. 1 Bergman, George M. 1 Bier, Agnieszka 1 Black, Sarah ...and 188 more Authors all top 5 Cited in 85 Serials 31 Journal of Algebra 15 Communications in Algebra 15 Proceedings of the American Mathematical Society 12 International Journal of Algebra and Computation 10 Journal of Pure and Applied Algebra 10 Transactions of the American Mathematical Society 10 Journal of Group Theory 8 Archiv der Mathematik 8 Mathematische Zeitschrift 7 Journal of Soviet Mathematics 6 Algebra and Logic 6 Groups, Geometry, and Dynamics 5 Bulletin of the Australian Mathematical Society 5 Israel Journal of Mathematics 5 Geometriae Dedicata 5 Inventiones Mathematicae 5 Journal of the Australian Mathematical Society 4 Journal of Mathematical Sciences (New York) 4 Algebraic & Geometric Topology 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Annalen 3 Rendiconti del Seminario Matematico della Università di Padova 3 Experimental Mathematics 3 Groups, Complexity, Cryptology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Boletim da Sociedade Brasileira de Matemática 2 Mathematica Slovaca 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Topology and its Applications 2 European Journal of Combinatorics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Algebra Colloquium 2 Izvestiya: Mathematics 2 Journal of Algebra and its Applications 1 Discrete Mathematics 1 Mathematical Notes 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Fundamenta Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 The Journal of Symbolic Logic 1 Memoirs of the American Mathematical Society 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Acta Applicandae Mathematicae 1 Annals of Pure and Applied Logic 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Sugaku Expositions 1 Random Structures & Algorithms 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 RAIRO. Informatique Théorique et Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 St. Petersburg Mathematical Journal 1 Electronic Research Announcements of the American Mathematical Society 1 Séminaire Lotharingien de Combinatoire 1 Annals of Mathematics. Second Series 1 Lobachevskii Journal of Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Bulletin of the American Mathematical Society 1 Analysis & PDE 1 Journal of Topology and Analysis 1 Confluentes Mathematici 1 Journal of Commutative Algebra 1 Bulletin of Mathematical Sciences 1 International Journal of Group Theory 1 Open Mathematics 1 Discrete Analysis 1 Journal of Combinatorial Algebra 1 Winter Braids Lecture Notes all top 5 Cited in 26 Fields 233 Group theory and generalizations (20-XX) 53 Manifolds and cell complexes (57-XX) 16 Combinatorics (05-XX) 15 Associative rings and algebras (16-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 11 Mathematical logic and foundations (03-XX) 8 Nonassociative rings and algebras (17-XX) 8 Computer science (68-XX) 6 Commutative algebra (13-XX) 6 Topological groups, Lie groups (22-XX) 6 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 2 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year