Robert Arnott Wilson

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Robert Arnott Wilson
NationalityBritish
Alma mater University of Cambridge
Known for
Scientific career
Fields Mathematics
Institutions Queen Mary, University of London
Thesis Maximal Subgroups of Some Finite Simple Groups (1983)
Doctoral advisor John Horton Conway
Website www.maths.qmul.ac.uk/~raw/

Robert Arnott Wilson (born 1958) 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. [1]

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<span class="mw-page-title-main">Monster group</span> Finite simple group

In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest sporadic simple group, having order
   246 · 320 · 59 · 76 · 112 · 133 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71
   = 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000
   ≈ 8×1053.

12 (twelve) is the natural number following 11 and preceding 13. Twelve is a superior highly composite number, divisible by the numbers 2, 3, 4, and 6.

<span class="mw-page-title-main">Baby monster group</span> Simple finite group

In the area of modern algebra known as group theory, the baby monster groupB (or, more simply, the baby monster) is a sporadic simple group of order

<span class="mw-page-title-main">Sporadic group</span> Finite simple group type not classified as Lie, cyclic or alternating

In the mathematical classification of finite simple groups, there are 26 or 27 groups which do not fit into any infinite family. These are called the sporadic simple groups, or the sporadic finite groups, or just the sporadic groups.

<span class="mw-page-title-main">Conway group</span>

In the area of modern algebra known as group theory, the Conway groups are the three sporadic simple groups Co1, Co2 and Co3 along with the related finite group Co0 introduced by (Conway 1968, 1969).

<span class="mw-page-title-main">Mathieu group</span> Five sporadic simple groups

In group theory, a topic in abstract algebra, the Mathieu groups are the five sporadic simple groups M11, M12, M22, M23 and M24 introduced by Mathieu. They are multiply transitive permutation groups on 11, 12, 22, 23 or 24 objects. They are the first sporadic groups to be discovered.

<span class="mw-page-title-main">Suzuki sporadic group</span>

In the area of modern algebra known as group theory, the Suzuki groupSuz or Sz is a sporadic simple group of order

<span class="mw-page-title-main">Higman–Sims group</span>

In the area of modern algebra known as group theory, the Higman–Sims group HS is a sporadic simple group of order

<span class="mw-page-title-main">Tits group</span> Finite simple group of order 2¹¹·3³·5²·13; the derived subgroup of the Ree group ²F₄(2)

In group theory, the Tits group2F4(2)′, named for Jacques Tits (French:[tits]), is a finite simple group of order

Janko group J<sub>1</sub>

In the area of modern algebra known as group theory, the Janko groupJ1 is a sporadic simple group of order

Janko group J<sub>4</sub>

In the area of modern algebra known as group theory, the Janko groupJ4 is a sporadic simple group of order

Mathieu group M<sub>12</sub>

In the area of modern algebra known as group theory, the Mathieu groupM12 is a sporadic simple group of order

<span class="mw-page-title-main">McLaughlin sporadic group</span>

In the area of modern algebra known as group theory, the McLaughlin group McL is a sporadic simple group of order

Fischer group Fi<sub>24</sub>

In the area of modern algebra known as group theory, the Fischer groupFi24 or F24′ is a sporadic simple group of order

Fischer group Fi<sub>23</sub>

In the area of modern algebra known as group theory, the Fischer groupFi23 is a sporadic simple group of order

Fischer group Fi<sub>22</sub>

In the area of modern algebra known as group theory, the Fischer groupFi22 is a sporadic simple group of order

Conway group Co<sub>2</sub>

In the area of modern algebra known as group theory, the Conway groupCo2 is a sporadic simple group of order

Conway group Co<sub>3</sub>

In the area of modern algebra known as group theory, the Conway group is a sporadic simple group of order

Conway group Co<sub>1</sub>

In the area of modern algebra known as group theory, the Conway groupCo1 is a sporadic simple group of order

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