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Vaughan-Lee, Michael R.

Author ID: vaughan-lee.michael-r Recent zbMATH articles by "Vaughan-Lee, Michael R."
Published as: Vaughan-Lee, M. R.; Vaughan-Lee, Michael; Vaughan-Lee, M.
External Links: MGP
Documents Indexed: 81 Publications since 1970, including 2 Books and 9 Additional arXiv Preprints
Co-Authors: 23 Co-Authors with 34 Joint Publications
725 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 473 times in 343 Documents Cited by Year
The restricted Burnside problem. Zbl 0817.20001
Vaughan-Lee, Michael
40
1993
Varieties of Lie algebras. Zbl 0204.35901
Vaughan-Lee, M. R.
39
1970
The groups with order \(p^7\) for odd prime \(p\). Zbl 1108.20016
O’Brien, E. A.; Vaughan-Lee, M. R.
32
2005
Uncountably many varieties of groups. Zbl 0216.08401
Vaughan-Lee, M. R.
31
1970
Groups and nilpotent Lie rings whose order is the sixth power of a prime. Zbl 1072.20022
Newman, M. F.; O’Brien, E. A.; Vaughan-Lee, M. R.
28
2004
Varieties that make one Cross. Zbl 0393.17001
MacDonald, Sheila Oates; Vaughan-Lee, M. R.
22
1978
Breadth and commutator subgroups of p-groups. Zbl 0291.20023
Vaughan-Lee, M. R.
20
1974
A nilpotent quotient algorithm for graded Lie rings. Zbl 0716.17001
Havas, George; Newman, M. F.; Vaughan-Lee, M. R.
15
1990
An essay on BFC groups. Zbl 0369.20012
Neumann, Peter M.; Vaughan-Lee, M. R.
14
1977
An algorithm for computing graded algebras. Zbl 0801.16025
Vaughan-Lee, Michael
11
1993
Collection from the left. Zbl 0705.20017
Vaughan-Lee, M. R.
10
1990
Engel-4 groups of exponent 5. Zbl 0869.20027
Vaughan-Lee, Michael
10
1997
Superalgebras and dimensions of algebras. Zbl 0923.16023
Vaughan-Lee, Michael
9
1998
Abelian-by-nilpotent varieties of Lie algebras. Zbl 0316.17007
Vaughan-Lee, M. R.
9
1975
Breadth, class and commutator subgroups of p-groups. Zbl 0291.20024
Vaughan-Lee, M. R.; Wiegold, James
9
1974
Non-PORC behaviour of a class of descendant \(p\)-groups. Zbl 1267.20025
du Sautoy, Marcus; Vaughan-Lee, Michael
8
2012
Abelian by nilpotent varieties. Zbl 0194.33301
Vaughan-Lee, M. R.
8
1970
The restricted Burnside problem. Zbl 0713.20001
Vaughan-Lee, Michael
8
1990
An effective version of the Lazard correspondence. Zbl 1254.20032
Cicalò, Serena; De Graaf, Willem A.; Vaughan-Lee, Michael
8
2012
Graded Lie algebras of maximal class. IV. Zbl 0960.17007
Caranti, A.; Vaughan-Lee, M. R.
7
2000
Groups of order \(p^8\) and exponent \(p\). Zbl 1456.20016
Vaughan-Lee, Michael
7
2015
Metabelian BFC p-groups. Zbl 0249.20010
Vaughan-Lee, M. R.
7
1972
The restricted Burnside problem. Zbl 0544.20032
Vaughan-Lee, M. R.
6
1985
Upper bounds in the restricted Burnside problem. Zbl 0818.20046
Vaughan-Lee, Michael; Zelmanov, E. I.
6
1993
Laws in finite loops. Zbl 0436.20046
Vaughan-Lee, M. R.
6
1979
Characteristic subgroups of free groups. Zbl 0194.03203
Vaughan-Lee, M. R.
6
1970
Soluble varieties of Lie algebras. Zbl 0237.17005
Bryant, R. M.; Vaughan-Lee, M. R.
6
1972
Graham Higman’s PORC conjecture. Zbl 1259.20019
Vaughan-Lee, Michael
6
2012
Nilpotence in permutable varieties. Zbl 0525.08008
Vaughan-Lee, M. R.
5
1983
Graded Lie algebras of maximal class. V. Zbl 1020.17021
Caranti, A.; Vaughan-Lee, M. R.
5
2003
Latin squares and the Hall-Paige conjecture. Zbl 1030.05021
Vaughan-Lee, M.; Wanless, I. M.
5
2003
Upper bounds in the restricted Burnside problem. II. Zbl 0871.20028
Vaughan-Lee, Michael; Zelmanov, E. I.
5
1996
Simple Lie algebras of low dimension over \(\text{GF}(2)\),. Zbl 1162.17009
Vaughan-Lee, Michael
4
2006
Engel-4 groups of exponent 5. II: Orders. Zbl 0974.20030
Newman, M. F.; Vaughan-Lee, Michael
4
1999
On Graham Higman’s famous PORC paper. Zbl 1267.20024
Vaughan-Lee, Michael
4
2012
An aspect of the nilpotent quotient algorithm. Zbl 0565.20017
Vaughan-Lee, M. R.
4
1984
The 2-generator restricted Burnside group of exponent 7. Zbl 1016.20010
O’Brien, E. A.; Vaughan-Lee, Michael
4
2002
Products of homogeneous subspaces in free Lie algebras. Zbl 1230.17003
Stöhr, Ralph; Vaughan-Lee, Michael
4
2009
Generation of p-groups by elements of bounded breadth. Zbl 0524.20008
Vaughan-Lee, M. R.; Wiegold, James
3
1983
Bounds in the restricted Burnside problem. Zbl 0939.20044
Vaughan-Lee, Michael; Zel’manov, E. I.
3
1999
Countable locally nilpotent groups of finite exponent without maximal subgroups. Zbl 0418.20027
Vaughan-Lee, M. R.; Wiegold, James
3
1981
On counterexamples to the Hughes conjecture. Zbl 1187.20010
Havas, George; Vaughan-Lee, Michael
3
2009
Generating groups of nilpotent varieties. Zbl 0196.04201
Vaughan-Lee, M. R.
3
1970
On product varieties of groups. Zbl 0221.20035
Vaughan-Lee, M. R.
3
1971
Lie rings of groups of prime exponent. Zbl 0727.20031
Vaughan-Lee, M. R.
3
1990
On Zel’manov’s solution of the restricted Burnside problem. Zbl 0918.20032
Vaughan-Lee, Michael
2
1998
Non-PORC behaviour in groups of order \(p^{7}\). Zbl 1427.20026
Vaughan-Lee, Michael
2
2018
Finite groups of bounded exponent. Zbl 1037.20032
Groves, Daniel; Vaughan-Lee, Michael
2
2003
Schur’s exponent conjecture – counterexamples of exponent 5 and exponent 9. Zbl 1491.20046
Vaughan-Lee, Michael
2
2021
Centre-by-metabelian Lie algebras. Zbl 0267.17007
Vaughan-Lee, M. R.
2
1973
Lie methods in group theory. Zbl 1084.20508
Vaughan-Lee, Michael
1
2003
Computing with 4-Engel groups. Zbl 1120.20039
Havas, George; Vaughan-Lee, M. R.
1
2007
The nilpotency class of finite groups of exponent \(p\). Zbl 0832.20037
Vaughan-Lee, Michael
1
1994
A note on small 2-perfect \(m\)-cycle systems, \(m=6\) and \(8\). Zbl 0803.05033
Oates-Williams, Sheila; Vaughan-Lee, M. R.
1
1993
Some Lie rings associated with Burnside groups. Zbl 0888.17001
Newman, M. F.; Vaughan-Lee, Michael
1
1998
Derived lengths of Burnside groups of exponent 4. Zbl 0437.20030
Vaughan-Lee, M. R.
1
1979
On the laws of some varieties of groups. Zbl 0201.03002
Vaughan-Lee, M. R.
1
1970
A problem of Hanna Neumann on closed sets of group words. Zbl 0217.07602
Kovács, L. G.; Vaughan-Lee, M. R.
1
1971
Graham Higman’s PORC theorem. Zbl 1443.20027
Vaughan-Lee, Michael
1
2019
Counting \(p\)-groups and Lie algebras using PORC formulae. Zbl 1485.20052
Eick, Bettina; Vaughan-Lee, Michael
1
2020
Schur’s exponent conjecture – counterexamples of exponent 5 and exponent 9. Zbl 1491.20046
Vaughan-Lee, Michael
2
2021
Counting \(p\)-groups and Lie algebras using PORC formulae. Zbl 1485.20052
Eick, Bettina; Vaughan-Lee, Michael
1
2020
Graham Higman’s PORC theorem. Zbl 1443.20027
Vaughan-Lee, Michael
1
2019
Non-PORC behaviour in groups of order \(p^{7}\). Zbl 1427.20026
Vaughan-Lee, Michael
2
2018
Groups of order \(p^8\) and exponent \(p\). Zbl 1456.20016
Vaughan-Lee, Michael
7
2015
Non-PORC behaviour of a class of descendant \(p\)-groups. Zbl 1267.20025
du Sautoy, Marcus; Vaughan-Lee, Michael
8
2012
An effective version of the Lazard correspondence. Zbl 1254.20032
Cicalò, Serena; De Graaf, Willem A.; Vaughan-Lee, Michael
8
2012
Graham Higman’s PORC conjecture. Zbl 1259.20019
Vaughan-Lee, Michael
6
2012
On Graham Higman’s famous PORC paper. Zbl 1267.20024
Vaughan-Lee, Michael
4
2012
Products of homogeneous subspaces in free Lie algebras. Zbl 1230.17003
Stöhr, Ralph; Vaughan-Lee, Michael
4
2009
On counterexamples to the Hughes conjecture. Zbl 1187.20010
Havas, George; Vaughan-Lee, Michael
3
2009
Computing with 4-Engel groups. Zbl 1120.20039
Havas, George; Vaughan-Lee, M. R.
1
2007
Simple Lie algebras of low dimension over \(\text{GF}(2)\),. Zbl 1162.17009
Vaughan-Lee, Michael
4
2006
The groups with order \(p^7\) for odd prime \(p\). Zbl 1108.20016
O’Brien, E. A.; Vaughan-Lee, M. R.
32
2005
Groups and nilpotent Lie rings whose order is the sixth power of a prime. Zbl 1072.20022
Newman, M. F.; O’Brien, E. A.; Vaughan-Lee, M. R.
28
2004
Graded Lie algebras of maximal class. V. Zbl 1020.17021
Caranti, A.; Vaughan-Lee, M. R.
5
2003
Latin squares and the Hall-Paige conjecture. Zbl 1030.05021
Vaughan-Lee, M.; Wanless, I. M.
5
2003
Finite groups of bounded exponent. Zbl 1037.20032
Groves, Daniel; Vaughan-Lee, Michael
2
2003
Lie methods in group theory. Zbl 1084.20508
Vaughan-Lee, Michael
1
2003
The 2-generator restricted Burnside group of exponent 7. Zbl 1016.20010
O’Brien, E. A.; Vaughan-Lee, Michael
4
2002
Graded Lie algebras of maximal class. IV. Zbl 0960.17007
Caranti, A.; Vaughan-Lee, M. R.
7
2000
Engel-4 groups of exponent 5. II: Orders. Zbl 0974.20030
Newman, M. F.; Vaughan-Lee, Michael
4
1999
Bounds in the restricted Burnside problem. Zbl 0939.20044
Vaughan-Lee, Michael; Zel’manov, E. I.
3
1999
Superalgebras and dimensions of algebras. Zbl 0923.16023
Vaughan-Lee, Michael
9
1998
On Zel’manov’s solution of the restricted Burnside problem. Zbl 0918.20032
Vaughan-Lee, Michael
2
1998
Some Lie rings associated with Burnside groups. Zbl 0888.17001
Newman, M. F.; Vaughan-Lee, Michael
1
1998
Engel-4 groups of exponent 5. Zbl 0869.20027
Vaughan-Lee, Michael
10
1997
Upper bounds in the restricted Burnside problem. II. Zbl 0871.20028
Vaughan-Lee, Michael; Zelmanov, E. I.
5
1996
The nilpotency class of finite groups of exponent \(p\). Zbl 0832.20037
Vaughan-Lee, Michael
1
1994
The restricted Burnside problem. Zbl 0817.20001
Vaughan-Lee, Michael
40
1993
An algorithm for computing graded algebras. Zbl 0801.16025
Vaughan-Lee, Michael
11
1993
Upper bounds in the restricted Burnside problem. Zbl 0818.20046
Vaughan-Lee, Michael; Zelmanov, E. I.
6
1993
A note on small 2-perfect \(m\)-cycle systems, \(m=6\) and \(8\). Zbl 0803.05033
Oates-Williams, Sheila; Vaughan-Lee, M. R.
1
1993
A nilpotent quotient algorithm for graded Lie rings. Zbl 0716.17001
Havas, George; Newman, M. F.; Vaughan-Lee, M. R.
15
1990
Collection from the left. Zbl 0705.20017
Vaughan-Lee, M. R.
10
1990
The restricted Burnside problem. Zbl 0713.20001
Vaughan-Lee, Michael
8
1990
Lie rings of groups of prime exponent. Zbl 0727.20031
Vaughan-Lee, M. R.
3
1990
The restricted Burnside problem. Zbl 0544.20032
Vaughan-Lee, M. R.
6
1985
An aspect of the nilpotent quotient algorithm. Zbl 0565.20017
Vaughan-Lee, M. R.
4
1984
Nilpotence in permutable varieties. Zbl 0525.08008
Vaughan-Lee, M. R.
5
1983
Generation of p-groups by elements of bounded breadth. Zbl 0524.20008
Vaughan-Lee, M. R.; Wiegold, James
3
1983
Countable locally nilpotent groups of finite exponent without maximal subgroups. Zbl 0418.20027
Vaughan-Lee, M. R.; Wiegold, James
3
1981
Laws in finite loops. Zbl 0436.20046
Vaughan-Lee, M. R.
6
1979
Derived lengths of Burnside groups of exponent 4. Zbl 0437.20030
Vaughan-Lee, M. R.
1
1979
Varieties that make one Cross. Zbl 0393.17001
MacDonald, Sheila Oates; Vaughan-Lee, M. R.
22
1978
An essay on BFC groups. Zbl 0369.20012
Neumann, Peter M.; Vaughan-Lee, M. R.
14
1977
Abelian-by-nilpotent varieties of Lie algebras. Zbl 0316.17007
Vaughan-Lee, M. R.
9
1975
Breadth and commutator subgroups of p-groups. Zbl 0291.20023
Vaughan-Lee, M. R.
20
1974
Breadth, class and commutator subgroups of p-groups. Zbl 0291.20024
Vaughan-Lee, M. R.; Wiegold, James
9
1974
Centre-by-metabelian Lie algebras. Zbl 0267.17007
Vaughan-Lee, M. R.
2
1973
Metabelian BFC p-groups. Zbl 0249.20010
Vaughan-Lee, M. R.
7
1972
Soluble varieties of Lie algebras. Zbl 0237.17005
Bryant, R. M.; Vaughan-Lee, M. R.
6
1972
On product varieties of groups. Zbl 0221.20035
Vaughan-Lee, M. R.
3
1971
A problem of Hanna Neumann on closed sets of group words. Zbl 0217.07602
Kovács, L. G.; Vaughan-Lee, M. R.
1
1971
Varieties of Lie algebras. Zbl 0204.35901
Vaughan-Lee, M. R.
39
1970
Uncountably many varieties of groups. Zbl 0216.08401
Vaughan-Lee, M. R.
31
1970
Abelian by nilpotent varieties. Zbl 0194.33301
Vaughan-Lee, M. R.
8
1970
Characteristic subgroups of free groups. Zbl 0194.03203
Vaughan-Lee, M. R.
6
1970
Generating groups of nilpotent varieties. Zbl 0196.04201
Vaughan-Lee, M. R.
3
1970
On the laws of some varieties of groups. Zbl 0201.03002
Vaughan-Lee, M. R.
1
1970
all top 5

Cited by 370 Authors

23 Vaughan-Lee, Michael R.
15 Eick, Bettina
13 Traustason, Gunnar
10 O’Brien, Eamonn A.
8 Mann, Avinoam
8 Newman, Michael Frederick
8 Shestakov, Ivan Pavlovich
8 Shumyatsky, Pavel
7 Drensky, Vesselin
6 Koshlukov, Plamen Emilov
6 Moravec, Primož
6 Wiegold, James
5 Cutolo, Giovanni
5 de Graaf, Willem Adriaan
5 Krasilnikov, Alexei N.
5 Longobardi, Patrizia
5 Maj, Mercede
5 Zhukavets, Natalia
4 Detomi, Eloisa
4 González-Sánchez, Jon
4 Havas, George
4 Lopatin, Artem A.
4 Mattarei, Sandro
4 Smith, Howard
4 Souza, Manuela da Silva
4 Zel’manov, Efim Isaakovich
3 Bryant, Roger M.
3 Cicalò, Serena
3 Dietrich, Heiko
3 Garaialde Ocaña, Oihana
3 Gavioli, Norberto
3 Herzog, Marcel
3 Horn, Max
3 Isaev, Ismail Musaevich
3 Kanel’-Belov, Alekseĭ Yakovlevich
3 Kuz’min, Alekseĭ Sergeevich
3 Lee, Edmond W. H.
3 Leedham-Green, Charles R.
3 Mansuroǧlu, Nil
3 McNulty, George F.
3 Monti, Valerio
3 Morigi, Marta
3 Niemeyer, Alice C.
3 Point, Françoise
3 Skutin, Alexander A.
3 Zhang, Qinhai
2 Abdollahi, Alireza
2 Aichinger, Erhard
2 Anokhin, M. I.
2 Avitabile, Marina
2 Bahturin, Yuri
2 Caranti, Andrea
2 Checcoli, Sara
2 Čipková, Karla
2 Cohen, Arjeh Marcel
2 Díaz Ramos, Antonio
2 Diniz Pereira da Silva e Silva, Diogo
2 Dziobiak, Wiesław
2 Fernández-Alcober, Gustavo A.
2 Fidelis, Claudemir
2 Freedman, Michael Hartley
2 Glasby, Stephen Peter
2 Grishkov, Alexander Nikolaevich
2 Gurchenkov, Sergei A.
2 Isham, Kelly
2 Jackson, Marcel G.
2 Jafari, Mohammad Hossein
2 Khukhro, Evgeniĭ I.
2 Kleiman, Yu. G.
2 Kurdachenko, Leonid Andriĭovych
2 Lee, Seungjai
2 Lennox, John C.
2 Lewis, Mark L.
2 Lv, Heng
2 Madadi, Ali Reza
2 Martínez López, Consuelo
2 Mayr, Peter
2 McKenzie, Ralph N.
2 Medvedev, Yuri A.
2 Miyazawa, Haruko Aida
2 Morais, Pedro H.
2 Moretó, Alexander
2 Ol’shanskiĭ, Aleksandr Yur’evich
2 Przytycki, Józef Henryk
2 Pypka, Alexsandr A.
2 Roman’kov, Vitaly Anatol’evich
2 Rowen, Louis Halle
2 Salomão, Mateus Eduardo
2 Schneider, Csaba
2 Semko, Nikolaj N.
2 Sidki, Said Najati
2 Sims, Charles Coffin
2 Stanojkovski, Mima
2 Stöhr, Ralph
2 Subbotin, Igor Yakov
2 Taranenko, Anna A.
2 Teichner, Peter
2 Thomas, Viji Zachariah
2 Tracey, Gareth M.
2 Umirbaev, Ualbaĭ Utmakhanbetovich
...and 270 more Authors
all top 5

Cited in 86 Serials

83 Journal of Algebra
25 Communications in Algebra
15 Israel Journal of Mathematics
15 International Journal of Algebra and Computation
14 Siberian Mathematical Journal
13 Algebra Universalis
12 Journal of Group Theory
10 Journal of Symbolic Computation
9 Algebra and Logic
8 Bulletin of the Australian Mathematical Society
7 Journal of Pure and Applied Algebra
6 Transactions of the American Mathematical Society
6 Journal of Mathematical Sciences (New York)
6 Journal of Algebra and its Applications
5 Advances in Mathematics
5 Journal of Soviet Mathematics
5 Proceedings of the American Mathematical Society
5 International Journal of Group Theory
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Journal of the Australian Mathematical Society
3 Czechoslovak Mathematical Journal
3 Semigroup Forum
2 Discrete Mathematics
2 Mathematical Notes
2 Archiv der Mathematik
2 Inventiones Mathematicae
2 The Journal of Symbolic Logic
2 Mathematica Slovaca
2 Mathematische Zeitschrift
2 Linear Algebra and its Applications
2 Journal of Knot Theory and its Ramifications
2 Journal of Algebraic Combinatorics
2 The Electronic Journal of Combinatorics
2 LMS Journal of Computation and Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 The Mathematical Intelligencer
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Journal of Mathematics
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Results in Mathematics
1 Studia Logica
1 Note di Matematica
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Annals of Pure and Applied Logic
1 Forum Mathematicum
1 Science in China. Series A
1 Designs, Codes and Cryptography
1 Bulletin of the American Mathematical Society. New Series
1 Archive for Mathematical Logic
1 Applicable Algebra in Engineering, Communication and Computing
1 Experimental Mathematics
1 Filomat
1 Finite Fields and their Applications
1 Electronic Research Announcements of the American Mathematical Society
1 Sbornik: Mathematics
1 The Journal of Fourier Analysis and Applications
1 Doklady Mathematics
1 Vietnam Journal of Mathematics
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Journal of the European Mathematical Society (JEMS)
1 The Quarterly Journal of Mathematics
1 Journal of Applied Mathematics and Computing
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Algebra and Discrete Mathematics
1 Oberwolfach Reports
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Proceedings of the Steklov Institute of Mathematics
1 Frontiers of Mathematics in China
1 Proceedings of the Estonian Academy of Sciences
1 Bulletin of Mathematical Sciences
1 Problemy Fiziki, Matematiki i Tekhniki
1 Communications in Mathematics
1 Communications in Mathematics and Statistics
1 Carpathian Mathematical Publications
1 Advances in Group Theory and Applications
1 Journal of Siberian Federal University. Mathematics & Physics
1 Journal of the Iranian Mathematical Society

Citations by Year