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## Glauberman, George

Compute Distance To:
 Author ID: glauberman.george Published as: Glauberman, G.; Glauberman, George External Links: MGP · Wikidata · GND
 Documents Indexed: 71 Publications since 1964, including 2 Books
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#### Co-Authors

 47 single-authored 3 Lynd, Justin 2 Alperin, Jonathan L. 2 Bender, Helmut 2 Norton, Simon Phillips 1 Grabowski, Łukasz 1 Guralnick, Robert Michael 1 Krause, Eugene F. 1 Mann, Avinoam 1 Mazza, Nadia Paola 1 Navarro, Gabriel 1 Niles, Richard 1 Robinson, Geoffrey Raymond 1 Segev, Yoav 1 Solomon, Ronald Mark 1 Struik, Ruth Rebekka
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#### Serials

 18 Journal of Algebra 7 Mathematische Zeitschrift 5 Canadian Journal of Mathematics 4 Proceedings of the London Mathematical Society. Third Series 2 Illinois Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 The Quarterly Journal of Mathematics. Oxford Second Series 1 Israel Journal of Mathematics 1 Inventiones Mathematicae 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal of the Australian Mathematical Society. Series A 1 Matemática Contemporânea 1 Journal of Group Theory 1 Bulletin of the American Mathematical Society 1 London Mathematical Society Lecture Note Series 1 Groups, Geometry, and Dynamics 1 Theory of Computing 1 Forum of Mathematics, Sigma
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#### Fields

 53 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

56 Publications have been cited 1,070 times in 764 Documents Cited by Year
Central elements in core-free groups. Zbl 0145.02802
Glauberman, George
1966
On loops of odd order. II. Zbl 0155.03901
Glauberman, George
1968
Factorizations in local subgroups of finite groups. Zbl 0489.20012
Glauberman, G.
1977
Correspondences of characters for relatively prime operator groups. Zbl 0167.02602
Glauberman, George
1968
A characteristic subgroup of a $$p$$-stable group. Zbl 0164.02202
Glauberman, G.
1968
On loops of odd order. Zbl 0123.01502
Glauberman, George
1964
Local and global properties of finite groups. Zbl 0232.20030
Glauberman, George
1971
Weakly closed elements of Sylow subgroups. Zbl 0172.03002
Glauberman, George
1968
Fixed points in groups with operator groups. Zbl 0123.02601
Glauberman, George
1964
Nilpotence of finite Moufang 2-loops. Zbl 0155.03902
Glauberman, G.; Wright, C. R. B.
1968
A sufficient condition for $$p$$-stability. Zbl 0242.20018
Glauberman, George
1972
On solvable signalizer functors in finite groups. Zbl 0342.20008
Glauberman, George
1976
Subgroups of finite groups. Zbl 0167.29502
Glauberman, George
1967
Local analysis for the odd order theorem. Zbl 0832.20028
Bender, Helmut; Glauberman, George
1994
On the automorphism group of a finite group having no non-identity normal subgroups of odd order. Zbl 0231.20004
Glauberman, George
1966
Prime-power factor groups of finite groups. II. Zbl 0192.35501
Glauberman, G.
1970
Limits of Abelian subgroups of finite $$p$$-groups. Zbl 0964.20011
Alperin, J. L.; Glauberman, G.
1998
Failure of factorization in p-solvable groups. Zbl 0255.20015
Glauberman, George
1973
Centrally large subgroups of finite $$p$$-groups. Zbl 1103.20013
Glauberman, George
2006
On Burnside’s other $$p^a q^b$$ theorem. Zbl 0274.20023
Glauberman, George
1975
Control of fixed points and existence and uniqueness of centric linking systems. Zbl 1396.20016
Glauberman, George; Lynd, Justin
2016
A pair of characteristic subgroups for pushing-up in finite groups. Zbl 0488.20021
Glauberman, George; Niles, Richard
1983
A characteristic subgroup of a group of odd order. Zbl 0306.20017
1975
Quadratic elements in unipotent linear groups. Zbl 0231.20015
Glauberman, George
1972
Prime-power factor groups of finite groups. Zbl 0167.02304
Glauberman, George
1968
Large Abelian subgroups of finite $$p$$-groups. Zbl 0917.20016
Glauberman, George
1997
Characters of finite groups with dihedral Sylow 2-subgroups. Zbl 0458.20004
Bender, Helmut; Glauberman, George
1981
Isomorphic subgroups of finite p-groups. I. Zbl 0232.20028
Glauberman, George
1971
A characterization of the Suzuki groups. Zbl 0182.35502
Glauberman, George
1968
Direct factors of Sylow 2-subgroups. I. Zbl 0275.20021
Glauberman, George
1974
Large subgroups of small class in finite $$p$$-groups. Zbl 1048.20004
Glauberman, George
2004
On groups with a quaternion Sylow 2-subgroup. Zbl 0273.20006
Glauberman, George
1974
Fixed point subgroups that contain centralizers of involutions. Zbl 0231.20005
Glauberman, George
1972
$$p$$-groups with maximal elementary Abelian subgroups of rank 2. Zbl 1194.20017
2010
Weakly closed direct factors of Sylow subgroups. Zbl 0172.03001
Glauberman, G.; Thompson, J. G.
1968
Abelian subgroups of small index in finite $$p$$-groups. Zbl 1085.20008
Glauberman, George
2005
On McKay’s connection between the affine $$E_8$$ diagram and the Monster. Zbl 0999.20011
Glauberman, George; Norton, Simon P.
2001
Isomorphic subgroups of finite p-groups. II. Zbl 0232.20029
Glauberman, George
1971
A note on groups generated by involutions and sharply $$2$$-transitive groups. Zbl 1317.20046
Glauberman, George; Mann, Avinoam; Segev, Yoav
2015
Signalizer functors. Zbl 0345.20023
Glauberman, George
1976
A sufficient condition for p-stability. Zbl 0267.20013
Glauberman, George
1969
Engel congruences in groups of prime-power exponent. Zbl 0143.03802
Glauberman, George; Krause, Eugene F.; Struik, Ruth Rebekka
1966
Centers of Sylow subgroups and automorphisms. Zbl 07297406
Glauberman, George; Guralnick, Robert; Lynd, Justin; Navarro, Gabriel
2020
Existence of normal subgroups in finite $$p$$-groups. Zbl 1154.20015
Glauberman, George
2008
A partial extension of Lazard’s correspondence for finite $$p$$-groups. Zbl 1133.20010
Glauberman, George
2007
An extension of Thompson’s replacement theorem by algebraic group methods. Zbl 1095.20007
Glauberman, George
2004
Large Abelian subgroups of groups of prime exponent. Zbl 0990.20009
Glauberman, George
2001
Factorizations for 2-constrained groups. Zbl 0394.20015
Glauberman, George
1980
Failure of factorization in p-solvable groups. II. Zbl 0319.20022
Glauberman, George
1975
Fixed point subgroups that contain centralizers of involutions. Zbl 0218.20021
Glauberman, G.
1972
Weakly closed elements of Sylow subgroups. II. Zbl 0179.32402
Glauberman, George
1969
A pair of characteristic subgroups for pushing-up. II. Zbl 1278.20022
Glauberman, George
2013
A note on finite $$p$$-groups with a maximal elementary subgroup of rank 2. Zbl 1294.20020
Glauberman, G.
2012
A new characteristic subgroup of a $$p$$-stable group. Zbl 1267.20028
Glauberman, George; Solomon, Ronald
2012
On the Suzuki groups and the outer automorphisms of $$S_ 6$$. Zbl 0846.20023
Glauberman, George
1996
Coverings and coverings. Zbl 0820.20029
Alperin, J. L.; Glauberman, George
1994
Centers of Sylow subgroups and automorphisms. Zbl 07297406
Glauberman, George; Guralnick, Robert; Lynd, Justin; Navarro, Gabriel
2020
Control of fixed points and existence and uniqueness of centric linking systems. Zbl 1396.20016
Glauberman, George; Lynd, Justin
2016
A note on groups generated by involutions and sharply $$2$$-transitive groups. Zbl 1317.20046
Glauberman, George; Mann, Avinoam; Segev, Yoav
2015
A pair of characteristic subgroups for pushing-up. II. Zbl 1278.20022
Glauberman, George
2013
A note on finite $$p$$-groups with a maximal elementary subgroup of rank 2. Zbl 1294.20020
Glauberman, G.
2012
A new characteristic subgroup of a $$p$$-stable group. Zbl 1267.20028
Glauberman, George; Solomon, Ronald
2012
$$p$$-groups with maximal elementary Abelian subgroups of rank 2. Zbl 1194.20017
2010
Existence of normal subgroups in finite $$p$$-groups. Zbl 1154.20015
Glauberman, George
2008
A partial extension of Lazard’s correspondence for finite $$p$$-groups. Zbl 1133.20010
Glauberman, George
2007
Centrally large subgroups of finite $$p$$-groups. Zbl 1103.20013
Glauberman, George
2006
Abelian subgroups of small index in finite $$p$$-groups. Zbl 1085.20008
Glauberman, George
2005
Large subgroups of small class in finite $$p$$-groups. Zbl 1048.20004
Glauberman, George
2004
An extension of Thompson’s replacement theorem by algebraic group methods. Zbl 1095.20007
Glauberman, George
2004
On McKay’s connection between the affine $$E_8$$ diagram and the Monster. Zbl 0999.20011
Glauberman, George; Norton, Simon P.
2001
Large Abelian subgroups of groups of prime exponent. Zbl 0990.20009
Glauberman, George
2001
Limits of Abelian subgroups of finite $$p$$-groups. Zbl 0964.20011
Alperin, J. L.; Glauberman, G.
1998
Large Abelian subgroups of finite $$p$$-groups. Zbl 0917.20016
Glauberman, George
1997
On the Suzuki groups and the outer automorphisms of $$S_ 6$$. Zbl 0846.20023
Glauberman, George
1996
Local analysis for the odd order theorem. Zbl 0832.20028
Bender, Helmut; Glauberman, George
1994
Coverings and coverings. Zbl 0820.20029
Alperin, J. L.; Glauberman, George
1994
A pair of characteristic subgroups for pushing-up in finite groups. Zbl 0488.20021
Glauberman, George; Niles, Richard
1983
Characters of finite groups with dihedral Sylow 2-subgroups. Zbl 0458.20004
Bender, Helmut; Glauberman, George
1981
Factorizations for 2-constrained groups. Zbl 0394.20015
Glauberman, George
1980
Factorizations in local subgroups of finite groups. Zbl 0489.20012
Glauberman, G.
1977
On solvable signalizer functors in finite groups. Zbl 0342.20008
Glauberman, George
1976
Signalizer functors. Zbl 0345.20023
Glauberman, George
1976
On Burnside’s other $$p^a q^b$$ theorem. Zbl 0274.20023
Glauberman, George
1975
A characteristic subgroup of a group of odd order. Zbl 0306.20017
1975
Failure of factorization in p-solvable groups. II. Zbl 0319.20022
Glauberman, George
1975
Direct factors of Sylow 2-subgroups. I. Zbl 0275.20021
Glauberman, George
1974
On groups with a quaternion Sylow 2-subgroup. Zbl 0273.20006
Glauberman, George
1974
Failure of factorization in p-solvable groups. Zbl 0255.20015
Glauberman, George
1973
A sufficient condition for $$p$$-stability. Zbl 0242.20018
Glauberman, George
1972
Quadratic elements in unipotent linear groups. Zbl 0231.20015
Glauberman, George
1972
Fixed point subgroups that contain centralizers of involutions. Zbl 0231.20005
Glauberman, George
1972
Fixed point subgroups that contain centralizers of involutions. Zbl 0218.20021
Glauberman, G.
1972
Local and global properties of finite groups. Zbl 0232.20030
Glauberman, George
1971
Isomorphic subgroups of finite p-groups. I. Zbl 0232.20028
Glauberman, George
1971
Isomorphic subgroups of finite p-groups. II. Zbl 0232.20029
Glauberman, George
1971
Prime-power factor groups of finite groups. II. Zbl 0192.35501
Glauberman, G.
1970
A sufficient condition for p-stability. Zbl 0267.20013
Glauberman, George
1969
Weakly closed elements of Sylow subgroups. II. Zbl 0179.32402
Glauberman, George
1969
On loops of odd order. II. Zbl 0155.03901
Glauberman, George
1968
Correspondences of characters for relatively prime operator groups. Zbl 0167.02602
Glauberman, George
1968
A characteristic subgroup of a $$p$$-stable group. Zbl 0164.02202
Glauberman, G.
1968
Weakly closed elements of Sylow subgroups. Zbl 0172.03002
Glauberman, George
1968
Nilpotence of finite Moufang 2-loops. Zbl 0155.03902
Glauberman, G.; Wright, C. R. B.
1968
Prime-power factor groups of finite groups. Zbl 0167.02304
Glauberman, George
1968
A characterization of the Suzuki groups. Zbl 0182.35502
Glauberman, George
1968
Weakly closed direct factors of Sylow subgroups. Zbl 0172.03001
Glauberman, G.; Thompson, J. G.
1968
Subgroups of finite groups. Zbl 0167.29502
Glauberman, George
1967
Central elements in core-free groups. Zbl 0145.02802
Glauberman, George
1966
On the automorphism group of a finite group having no non-identity normal subgroups of odd order. Zbl 0231.20004
Glauberman, George
1966
Engel congruences in groups of prime-power exponent. Zbl 0143.03802
Glauberman, George; Krause, Eugene F.; Struik, Ruth Rebekka
1966
On loops of odd order. Zbl 0123.01502
Glauberman, George
1964
Fixed points in groups with operator groups. Zbl 0123.02601
Glauberman, George
1964
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#### Cited by 513 Authors

 31 Glauberman, George 15 Aschbacher, Michael George 14 Gorenstein, Daniel 13 Vojtěchovský, Petr 12 Robinson, Geoffrey Raymond 12 Solomon, Ronald Mark 11 Flavell, Paul 10 Harris, Morton E. 10 Kinyon, Michael K. 10 Stroth, Gernot 9 Rajah, Andrew 8 Gagola, Stephen M. III 8 Kondrat’ev, Anatoliĭ Semenovich 8 Mazurov, Viktor Danilovich 8 Meierfrankenfeld, Ulrich 8 Smith, Stephen D. 8 Stellmacher, Bernd 7 Arad, Zvi 7 Grishkov, Alexander Nikolaevich 7 Harada, Koichiro 7 Held, Dieter 7 Herzog, Marcel 7 Lyons, Richard 7 Mazza, Nadia Paola 7 Nagy, Gábor Péter 7 Rowley, Peter J. 6 Ferguson, Pamela A. 6 Guralnick, Robert Michael 6 Janko, Zvonimir 6 Kantor, William M. 6 Koshitani, Shigeo 6 Lynd, Justin 6 Syskin, Sergei A. 5 Chein, Orin 5 Chillag, David 5 Finkelstein, Larry A. 5 Griess, Robert L. jun. 5 Gross, Fletcher 5 Isaacs, I. Martin 5 Khukhro, Evgeniĭ I. 5 Makhnëv, Aleksandr Alekseevich 5 Mann, Avinoam 5 Pérez-Ramos, María Dolores 5 Phan, Kok-Wee 5 Seitz, Gary M. 5 Smith, Fredrick L. 5 Timmesfeld, Franz Georg 5 Weiss, Richard Mark 5 Wong, Warren J. 5 Yadchenko, A. A. 4 Beltrán, Antonio Felip 4 Bender, Helmut 4 Bushnell, Colin J. 4 Felipe, María José 4 Fong, Paul 4 Foote, Richard M. 4 Henniart, Guy M. 4 Hering, Christoph H. 4 Knapp, Wolfgang D. 4 Kreuzer, Alexander 4 Lam, Ching Hung 4 Lawson, Jimmie Don 4 Linckelmann, Markus 4 Mason, David R. 4 Mason, Geoffrey 4 Navarro, Gabriel 4 Parrott, David 4 Pérez-Izquierdo, José María 4 Puig, Lluis 4 Shumyatsky, Pavel 4 Shunkov, Vladimir Petrovich 4 Smith, Jonathan Dallas Hayden 3 Aleev, Rifkhat Zhalyalovich 3 Alperin, Jonathan L. 3 Asaad, Mohamed 3 Bialostocki, Arie 3 Bonisoli, Arrigo 3 Burn, Robert Pemberton 3 Chabot, Paul 3 Chee, Wing Loon 3 Deloro, Adrien 3 Foguel, Tuval S. 3 Glesser, Adam 3 Goncharov, Maksim E. 3 Goodaire, Edgar G. 3 Güloglu, Ismail Suayip 3 Hall, Jonathan I. 3 Héthelyi, László 3 Ho, Chat Yin 3 Ho, Chih-Yung 3 Jaligot, Eric 3 Kessar, Radha 3 Korchmáros, Gábor 3 Kurzweil, Hans 3 Lescot, Paul 3 McBride, Patrick Paschal 3 McCulloch, Ryan 3 Melchor, Carmen 3 Meng, Hangyang 3 Montinaro, Alessandro ...and 413 more Authors
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#### Cited in 89 Serials

 321 Journal of Algebra 39 Communications in Algebra 32 Algebra and Logic 31 Mathematische Zeitschrift 26 Israel Journal of Mathematics 25 Archiv der Mathematik 18 Transactions of the American Mathematical Society 14 Mathematical Notes 14 Proceedings of the American Mathematical Society 12 Rendiconti del Seminario Matematico della Università di Padova 12 Siberian Mathematical Journal 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Results in Mathematics 10 Inventiones Mathematicae 9 Bulletin of the Australian Mathematical Society 9 European Journal of Combinatorics 8 Journal of Pure and Applied Algebra 8 Bulletin of the American Mathematical Society. New Series 8 Journal of Group Theory 8 Journal of Algebra and its Applications 7 Journal of Soviet Mathematics 5 Advances in Mathematics 5 Memoirs of the American Mathematical Society 5 Nagoya Mathematical Journal 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 International Journal of Algebra and Computation 5 Bulletin of the American Mathematical Society 4 Ukrainian Mathematical Journal 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Journal of Combinatorial Theory. Series A 4 Osaka Journal of Mathematics 4 Journal of the Australian Mathematical Society 3 Discrete Mathematics 3 Rocky Mountain Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Algebra Colloquium 3 Algebras and Representation Theory 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Journal of Geometry 2 Monatshefte für Mathematik 2 Journal of Symbolic Computation 2 Journal of the American Mathematical Society 2 Journal of Algebraic Combinatorics 2 Annals of Mathematics. Second Series 2 Trudy Instituta Matematiki 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Problemy Fiziki, Matematiki i Tekhniki 2 Journal of Siberian Federal University. Mathematics & Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Linear and Multilinear Algebra 1 The Mathematical Intelligencer 1 Algebra Universalis 1 Bulletin of the London Mathematical Society 1 Commentationes Mathematicae Universitatis Carolinae 1 Demonstratio Mathematica 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series B 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Applicandae Mathematicae 1 Forum Mathematicum 1 Designs, Codes and Cryptography 1 Aequationes Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Finite Fields and their Applications 1 Journal of Combinatorial Designs 1 The Bulletin of Symbolic Logic 1 Transformation Groups 1 Doklady Mathematics 1 Representation Theory 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Journal of Systems Science and Complexity 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Journal of Homotopy and Related Structures 1 Confluentes Mathematici 1 Kyoto Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 International Journal of Group Theory 1 ISRN Algebra 1 Forum of Mathematics, Sigma 1 Tunisian Journal of Mathematics
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#### Cited in 26 Fields

 693 Group theory and generalizations (20-XX) 33 Combinatorics (05-XX) 28 Geometry (51-XX) 23 Nonassociative rings and algebras (17-XX) 17 Algebraic topology (55-XX) 14 Associative rings and algebras (16-XX) 12 Topological groups, Lie groups (22-XX) 11 Number theory (11-XX) 7 Field theory and polynomials (12-XX) 6 Differential geometry (53-XX) 5 General algebraic systems (08-XX) 5 Algebraic geometry (14-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Manifolds and cell complexes (57-XX) 4 Mathematical logic and foundations (03-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 $$K$$-theory (19-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Relativity and gravitational theory (83-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

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