Robert Arnott Wilson | Academic Influence

Robert Arnott Wilson's AcademicInfluence.com Rankings

Robert Arnott Wilson

Mathematics

#613

World Rank

#1145

Historical Rank

Group Theory

#10

World Rank

#14

Historical Rank

Algebra

#20

World Rank

#39

Historical Rank

Measure Theory

#1314

World Rank

#1657

Historical Rank

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Mathematics

Robert Arnott Wilson's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Why Is Robert Arnott Wilson Influential?

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According to Wikipedia, Robert Arnott Wilson is a retired mathematician in London, England, who is best known for his work on classifying the maximal subgroups of finite simple groups and for the work in the Monster group. He is also an accomplished violin, viola and piano player, having played as the principal viola in the Sinfonia of Birmingham. Due to a damaged finger, he now principally plays the kora.

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Robert Arnott Wilson'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

ATLAS of Finite Groups (1985) (3801)
The classical groups (2009) (659)
The finite simple groups (2009) (238)
Standard Generators for Sporadic Simple Groups (1996) (93)
The maximal subgroups of Conway's group Co1 (1983) (76)
Base sizes for sporadic simple groups (2010) (66)
The symmetric genus of sporadic groups (1992) (63)
The complex leech lattice and maximal subgroups of the Suzuki group (1983) (55)
The Maximal Subgroups of the Baby Monster, I (1999) (53)
The Maximal Subgroups of the Fischer Group Fi23 (1989) (53)
Anatomy of the Monster: II (2002) (52)
The odd-local subgroups of the Monster (1988) (48)
New families of ovoids in O+8 (1988) (47)
The Maximal Subgroups of J4 (1988) (44)
The Monster is a Hurwitz group (2001) (43)
Computer construction of the Monster (1998) (41)
Graphs, Colourings and the Four-Colour Theorem (2002) (41)
The Geometry and Maximal Subgroups of the Simple Groups of A. Rudvalis and J. Tits (1984) (41)
The Maximal Subgroups of the Fischer Groups Fi24 and Fi′24 (1991) (41)
A Characterization of Finite Soluble Groups by Laws in Two Variables (2005) (38)
Maximal Subgroups of Automorphism Groups of Simple Groups (1985) (37)
A New Computer Construction of the Monster Using 2‐Local Subgroups (2003) (37)
Explicit representations of maximal subgroups of the Monster (2006) (36)
On maximal subgroups of the Fischer group Fi22 (1984) (35)
The Maximal Subgroups of E6(2) and Aut(E6(2)) (1990) (33)
Some subgroups of the Baby Monster (1987) (32)
Maximal subgroups of sporadic groups (2017) (32)
The maximal subgroups of F4(2) and its automorphism group (1989) (32)
A New Maximal Subgroup of the Monster (2002) (29)
A correction to the 41‐structure of the Monster, a construction of a new maximal subgroup L2(41) and a new Moonshine phenomenon (2013) (29)
Recognising simplicity of black-box groups by constructing involutions and their centralisers (2010) (29)
The Computer Construction of Matrix Representations of Finite Groups over Finite Fields (1990) (28)
The Local Subgroups of the Fischer Groups (1987) (27)
Maximal subgroups of the Harada-Norton group (1986) (25)
The maximal subgroups of the O'Nan group (1985) (25)
The geometry of the Hall-Janko group as a quaternionic reflection group (1986) (25)
A New Construction of the Baby Monster and Its Applications (1993) (24)
The McKay Conjecture Is True for the Sporadic Simple Groups (1998) (24)
A characterization of some locally finite simple groups of Lie type (1987) (23)
The quaternionic lattice for 2G2(4) and its maximal subgroups (1982) (22)
Octonions and the Leech lattice (2009) (21)
Enumerating big orbits and an application: B acting on the cosets of Fi23 (2007) (21)
Some subgroups of the Thompson group (1988) (21)
Vector stabilizers and subgroups of Leech lattice groups (1989) (20)
On The Orders of Automorphism Groups of Finite Groups (2005) (20)
The maximal subgroups of Fi22 (1987) (19)
THE SYMMETRIC GENUS OF THE BABY MONSTER (1993) (18)
Recognising simplicity of black-box groups (2005) (18)
On subgroups of the Monster containing A5's (2008) (17)
PSL2(59) is a Subgroup of the Monster (2004) (17)
3-TRANSPOSITION GROUPS (Cambridge Tracts in Mathematics 124) By M ICHAEL A SCHBACHER : 260 pp., £35.00, ISBN 0 521 57196 0 (Cambridge University Press, 1997). (1999) (16)
Another new approach to the small Ree groups (2010) (15)
Sporadic Simple Subgroups of Finite Exceptional Groups of Lie Type (1993) (15)
The subgroup structure of the Lyons group (1984) (15)
Is J1 a Subgroup of the Monster (1986) (13)
THE CLASSIFICATION OF QUASITHIN GROUPS I. STRUCTURE OF STRONGLY QUASITHIN K‐GROUPS (Mathematical Surveys and Monographs 111) (2006) (13)
The Alperin weight conjecture and Uno’s conjecture for the Monster M, p odd (2004) (13)
Prime order derangements in primitive permutation groups (2011) (12)
Representations of groups: a computational approach (Cambridge Studies in Advanced Mathematics 124) (2011) (12)
The minimal faithful 3-modular representation for the lyons group (1996) (12)
Matrix generators for the Harada-Norton group (1994) (12)
Examples of 3-dimensional 1-cohomology for absolutely irreducible modules of finite simple groups (2008) (12)
THE ALPERIN WEIGHT CONJECTURE AND UNO'S CONJECTURE FOR THE BABY MONSTER B, p ODD (2004) (12)
Completing the Brauer Trees for the Sporadic Simple Lyons Group (2002) (12)
On the compact real form of the Lie algebra 2 (2009) (11)
The maximal subgroups of the Lyons group (1985) (11)
The 2‐Modular and 3‐Modular Decomposition Numbers for the Sporadic Simple O'Nan Group and its Triple Cover (1998) (11)
The symmetric genus of the fischer group Fi23 (1997) (11)
The 2-Modular Characters of Conway's Third Group Co3 (1997) (11)
The 2-modular characters of Conway's group Co2 (1994) (11)
Orbit invariants and an application to the Baby monster (2011) (11)
Some New Subgroups of the Baby Monster (1993) (10)
More on maximal subgroups of the Baby Monster (1993) (10)
Classification of subgroups isomorphic to PSL2(27) in the Monster (2013) (10)
Proportions of r‐regular elements in finite classical groups (2012) (10)
Regular orbits of sporadic simple groups (2018) (10)
A presentation for the Thompson sporadic simple group (2001) (9)
Computer construction of matrix representations of the covering group of the Higman-Sims group (1992) (9)
GENERATING MAXIMAL SUBGROUPS OF SPORADIC SIMPLE GROUPS (2001) (9)
Two New Constructions of the O'Nan Group (1997) (9)
On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics (2021) (8)
The Atlas of Finite Groups - Ten Years on: An Atlas of sporadic group representations (1998) (8)
Constructive membership testing in black-box groups (2004) (8)
A simple construction of the Ree groups of type 2F4 (2010) (8)
Options for a finite group model of quantum mechanics (2021) (8)
The Brauer Tree for J_3 in Characteristic 17 (1993) (8)
On the orders of automorphism groups of finite groups. II (2006) (7)
Maximal subgroups of ${}^2E_6(2)$ and its automorphism groups (2018) (7)
On the 3-local subgroups of Conway's group Co1 (1988) (7)
A group-theorist's perspective on symmetry groups in physics (2020) (7)
Remarks on the group-theoretical foundations of particle physics (2022) (7)
Conway's group and octonions (2010) (7)
A new approach to the Suzuki groups (2009) (7)
Conjugacy Class Representatives in the Monster Group (2005) (7)
Constructions of Fischer's Baby Monster over Fields of Characteristic Not 2 (2000) (6)
A toy model for the W/Z mass ratio (2022) (6)
Conjugacy Class Representatives in Fischer's Baby Monster (2002) (6)
J3<E6(4) and M12<E6(5) (1990) (6)
A new construction of the Ree groups of type 2G2 (2010) (6)
The exceptional groups (2009) (6)
Potential applications of modular representation theory to quantum mechanics (2021) (6)
Possible uses of the binary icosahedral group in grand unified theories (2021) (6)
Computing in the Monster (2002) (6)
An octonionic construction of $E_8$ and the Lie algebra magic square (2022) (5)
The symmetric genus of sporadic groups: announced results (1993) (5)
On the compact real forms of the lie algebras of type E6 and F4 (2012) (5)
The 2- and 3 Modular Characters of J3, its Covering Group and Automorhism Group (1990) (5)
The 3- and 5-Modular Characters of the Covering and the Automorphism Groups of the Higman-Sims Group (1992) (5)
Embeddings of Sz(32) in E8(5) (2000) (5)
Conjugacy classes in sporadic simple groups (2000) (5)
Octions: An E8 description of the Standard Model (2022) (5)
COVERING AND AUTOMORPHISM GROUPS OF U6(2) (1997) (5)
A Symplectic Representation of $\mathrm{E}_7$ (2013) (4)
POTENTIAL USES OF REPRESENTATIONS OF SL(4,R) IN PARTICLE PHYSICS (2020) (4)
Algorithmic construction of Chevalley bases (2012) (4)
The action of a maximal parabolic subgroup on the transpositions of the Baby Monster (1994) (4)
A QUATERNIONIC CONSTRUCTION OF E7 (2012) (4)
Every PSL 2 (13) in the Monster contains 13 A -elements (2015) (4)
A symplectic representation of $E_7$ (2014) (4)
THE CHARACTER TABLE OF A MAXIMAL SUBGROUP OF THE MONSTER (2007) (4)
Every in the Monster contains -elements (2015) (3)
Standard Generators for J3 (1995) (3)
On the simple groups of Suzuki and Ree (2013) (3)
The alternating groups (2009) (3)
Construction of the Fourfold Cover of the Mathieu Group M22 (1993) (3)
POSSIBLE EMERGENCE OF FUNDAMENTAL CONSTANTS FROM A GENERALLY COVARIANT MODEL OF QUANTUM MECHANICS (2020) (3)
A representation for the Lyons group in GL2480(4), and a new uniqueness proof (1998) (3)
A quaternionic construction of (2013) (3)
Construction of exceptional covers of generic groups (1999) (2)
Albert algebras and construction of the finite simple groups $F_4(q)$, $E_6(q)$ and ${}^2E_6(q)$ and their generic covers (2013) (2)
The Atlas of Finite Groups - Ten Years on: A brief history of the ATLAS (1998) (2)
Matrix generators for Fischer's group Fi24 (1993) (2)
Fischer’s Monsters (2017) (2)
Integer versions of Yang-Mills theory (2022) (2)
Semi-Presentations for the Sporadic Simple Groups (2005) (2)
A presentation of the Monster and a set of matrices which satisfy it (2013) (1)
Subgroups of Clifford algebras (2020) (1)
Construction of Finite Matrix Groups (1999) (1)
Finite symmetry groups in physics (2021) (1)
Verification of the ordinary character table of the Baby Monster (2019) (1)
Finding 47:23 in the Baby Monster (2016) (1)
A 2020 VISION FOR A NEW THEORY OF PHYSICS (2020) (1)
Groups, Combinatorics & Geometry: The 3-modular characters of the McLaughlin group McL and its automorphism group McL.2 (1992) (1)
Moonshine: The First Quarter Century and Beyond: New computations in the Monster (2010) (1)
An eightfold path to E 8 (2012) (1)
Quaternionic reflections and (non)locality (2022) (1)
The sporadic groups (2009) (1)
The Monster and black-box groups (2013) (1)
Is the Suzuki group Sz(8) a subgroup of the Monster? (2016) (1)
Some steps in the verification of the ordinary character table of the Baby Monster group (2019) (1)
A negative answer to a question of Aschbacher (2018) (0)
Involution centralizers in matrix group algorithms (2006) (0)
Computing in the Monster Robert A (2002) (0)
Comparison of group-theoretical strategies for unification of 3+1 structures in physics (2021) (0)
Tetrions: a discrete approach to the standard model (2023) (0)
On a 14-dimensional lattice invariant under the simple group G2(3) (2012) (0)
Octonions, Albert vectors and the group $\mathrm{E}_6(F)$ (2019) (0)
The uniqueness of PSU 3(8) in the Monster (2016) (0)
Chirality in an $E_8$ model of elementary particles (2022) (0)
University of Birmingham Algorithmic construction of Chevalley bases (2013) (0)
Topics in Groups Theory (2010) (0)
A quaternionic approach to E 7 (2012) (0)
AtlasRep — A GAP 4 Package ( Version 1 . 4 ) (2004) (0)
A world-wide-web Atlas of group representations Final Report GR / S 31419 (2001) (0)
ALGEBRAIC FOUNDATIONS OF PHYSICS (2019) (0)
248 and All That (2007) (0)
Preprint: Subgroups of the Monster generated by A_5s (2003) (0)
Introduction to the Finite Simple Groups (2016) (0)
On the compact real forms of the lie algebras of type E6 and F4 (2013) (0)
Computing in the Fischer – Griess Monster Individual Grant Review GR / R 95265 / 01 (2004) (0)
THERE IS NO Sz(8) IN THE MONSTER (2015) (0)
An explicit embedding of the Tits group in the compact real form of $E_6$ (2012) (0)
Chapter 3 Construction of Finite Matrix Groups (0)

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