Michael Vaughan-Lee

Michael Vaughan-Lee's AcademicInfluence.com Rankings

Michael Vaughan-Lee

Mathematics

#8215

World Rank

#11156

Historical Rank

Group Theory

#341

World Rank

#394

Historical Rank

Number Theory

#427

World Rank

#528

Historical Rank

Algebra

#658

World Rank

#868

Historical Rank

mathematics Degrees

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Mathematics

Michael Vaughan-Lee's Degrees

Masters Mathematics University of Oxford

Why Is Michael Vaughan-Lee Influential?

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According to Wikipedia, Michael Rogers Vaughan-Lee is a mathematician and retired academic. He was Professor of Mathematics at the University of Oxford from 1996 to 2010 and a tutor at Christ Church, Oxford, between 1971 and 2010.

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Michael Vaughan-Lee's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Restricted Burnside Problem (1990) (147)
Uncountably many Varieties of Groups (1970) (72)
VARIETIES OF LIE ALGEBRAS (1970) (70)
Groups and nilpotent Lie rings whose order is the sixth power of a prime (2004) (61)
The groups with order p7 for odd prime p (2005) (57)
4-Engel Groups are Locally Nilpotent (2005) (46)
A Nilpotent Quotient Algorithm for Graded Lie Rings (1990) (45)
Varieties that make one Cross (1978) (35)
An Essay on BFC Groups (1977) (32)
Breadth and commutator subgroups of p-groups (1974) (32)
Engel‐4 Groups of Exponent 5 (1997) (26)
An Algorithm for Computing Graded Algebras (1993) (25)
Non-PORC behaviour of a class of descendant $p$-groups (2011) (24)
Upper Bounds in the Restricted Burnside Problem (1993) (20)
Nilpotence in permutable varieties (1983) (16)
Latin Squares and the Hall–Paige Conjecture (2003) (15)
An effective version of the Lazard correspondence (2012) (15)
Groups of order $p^8$ and exponent $p$ (2015) (14)
The 2-Generator Restricted Burnside Group of Exponent 7 (2002) (14)
Metabelian Bfc P-Groups (1972) (13)
ABELIAN BY NILPOTENT VARIETIES (1970) (13)
Superalgebras and Dimensions of Algebras (1998) (13)
On Zel'manov's solution of the restricted Burnside problem (1998) (12)
Abelian-By-Nilpotent Varities of Lie Algebras (1975) (11)
Bounds in the restricted Burnside problem (1999) (11)
Soluble varieties of Lie algebras (1972) (11)
Breadth, class and commutator subgroups of p-groups (1974) (11)
On counterexamples to the Hughes conjecture (2009) (10)
Upper Bounds in the Restricted Burnside Problem II (1996) (10)
Countable Locally Nilpotent Groups of Finite Exponent without Maximal Subgroups (1981) (10)
Laws in finite loops (1979) (10)
Engel‐4 Groups of Exponent 5. II. Orders (1999) (9)
Graham Higman’s PORC Conjecture (2012) (8)
On Graham Higman's famous PORC paper (2012) (8)
Lie rings of groups of prime exponent (1990) (8)
Simple Lie Algebras of Low Dimension Over GF (2) (2006) (8)
Generation of p-groups by elements of bounded breadth (1999) (7)
DERIVED LENGTHS OF BURNSIDE GROUPS OF EXPONENT 4 (1979) (7)
Products of Homogeneous Subspaces in Free Lie Algebras (2009) (7)
Computing with 4-Engel groups (2007) (7)
Characteristic Subgroups of Free Groups (1970) (6)
Graded Lie algebras of maximal class. V (1999) (6)
On product varieties of groups (1971) (5)
Generating groups of nilpotent varieties (1970) (5)
Schur's exponent conjecture -- counterexamples of exponent 5 and exponent 9. (2020) (5)
The nilpotency class of finite groups of exponent $p$ (1994) (4)
The automorphisms of class two groups of prime exponent (2015) (4)
Non-PORC behaviour in groups of order p7 (2016) (4)
Some Lie rings associated with Burnside groups (1998) (3)
Finite Groups of Bounded Exponent (2003) (3)
The Groups and Nilpotent Lie Rings of Order p8 with Maximal Class (2021) (3)
Orbits of irreducible binary forms over GF$(p)$ (2017) (3)
Centre-by-metabelian Lie algebras (1973) (3)
Choosing elements from finite fields (2017) (3)
Counting p-groups and Lie algebras using PORC formulae (2020) (2)
Graham Higman's PORC theorem (2018) (2)
On 4-Engel Groups (2007) (2)
Enumerating algebras over a finite field (2013) (2)
The class three groups of order $p^9$ with exponent $p$ (2017) (1)
Not every p-group can be generated by elements of the same order (2006) (1)
A problem of Hanna Neumann on closed sets of group words (1971) (1)
Lie relators in Burnside groups (2020) (0)
Finiteness conditions on commutators (1977) (0)
Sanov's theorem on Lie relators in groups of exponent $p$ (2021) (0)
On Solvability of Groups of Exponent Four (1978) (0)
Schur's exponent conjecture II (2021) (0)
Hubris (1981) (0)
Laws in Finite Algebras (1980) (0)
Groups St Andrews 2009 in Bath: Lie methods in Engel groups (2011) (0)
BURNSIDE GROUPS: PROCEEDINGS, BIELEFELD, GERMANY, 1977 (Lecture Notes in Mathematics, 806) (1981) (0)
Presentations for the groups of order $p^6$ for prime $p\geq 7$ (2023) (0)
An insoluble (p−2)-Engel group of exponent p (2010) (0)
On the laws of some varieties of groups (1970) (0)
On counterexamples to the Hughes conjecture George Havas and (2009) (0)
Groups St Andrews 2001 in Oxford: Lie methods in group theory (2003) (0)
Understanding Wall's theorem on dependence of Lie relators in Burnside groups (2020) (0)
The GAP Package LiePRing (2020) (0)
Graham Higman’s PORC Conjecture (2012) (0)

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Michael Vaughan-Lee's Academic­Influence.com Rankings

Michael Vaughan-Lee's Degrees

Why Is Michael Vaughan-Lee Influential?

Michael Vaughan-Lee's Published Works

Published Works

Other Resources About Michael Vaughan-Lee

What Schools Are Affiliated With Michael Vaughan-Lee?

Michael Vaughan-Lee's AcademicInfluence.com Rankings