Michio Suzuki
Encyclopedia
was a Japan
ese mathematician
who studied group theory
.
from 1953 to his death. He also had visiting positions at the University of Chicago
(1960–61), the Institute for Advanced Study
(1962–63, 1968–69, spring 1981), the University of Tokyo
(spring 1971), and the University of Padua
(1994). Suzuki received his Ph.D in 1952 from the University of Tokyo
, despite having moved to the United States
the previous year. He was the first to attack the Burnside conjecture
, that every finite non-abelian simple group has even order.
A notable achievement was his discovery in 1960 of the Suzuki groups, an infinite family of the only non-abelian simple groups whose order is not divisible by 3. The smallest, of order 29120, was the first simple group of order less than 1 million to be discovered since Dickson
's list of 1900.
He classified several classes of simple groups of small rank, including the CIT-groups and C-group
s and CA-groups.
There is also a sporadic simple group called the Suzuki group
, which he announced in 1968. The Tits
ovoid
is also referred to as the Suzuki ovoid.
He wrote several textbooks in Japanese
.
Japan
Japan is an island nation in East Asia. Located in the Pacific Ocean, it lies to the east of the Sea of Japan, China, North Korea, South Korea and Russia, stretching from the Sea of Okhotsk in the north to the East China Sea and Taiwan in the south...
ese mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
who studied group theory
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and...
.
Biography
He was a Professor at the University of Illinois at Urbana-ChampaignUniversity of Illinois at Urbana-Champaign
The University of Illinois at Urbana–Champaign is a large public research-intensive university in the state of Illinois, United States. It is the flagship campus of the University of Illinois system...
from 1953 to his death. He also had visiting positions at the University of Chicago
University of Chicago
The University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...
(1960–61), the Institute for Advanced Study
Institute for Advanced Study
The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...
(1962–63, 1968–69, spring 1981), the University of Tokyo
University of Tokyo
, abbreviated as , is a major research university located in Tokyo, Japan. The University has 10 faculties with a total of around 30,000 students, 2,100 of whom are foreign. Its five campuses are in Hongō, Komaba, Kashiwa, Shirokane and Nakano. It is considered to be the most prestigious university...
(spring 1971), and the University of Padua
University of Padua
The University of Padua is a premier Italian university located in the city of Padua, Italy. The University of Padua was founded in 1222 as a school of law and was one of the most prominent universities in early modern Europe. It is among the earliest universities of the world and the second...
(1994). Suzuki received his Ph.D in 1952 from the University of Tokyo
University of Tokyo
, abbreviated as , is a major research university located in Tokyo, Japan. The University has 10 faculties with a total of around 30,000 students, 2,100 of whom are foreign. Its five campuses are in Hongō, Komaba, Kashiwa, Shirokane and Nakano. It is considered to be the most prestigious university...
, despite having moved to the United States
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
the previous year. He was the first to attack the Burnside conjecture
Feit–Thompson theorem
In mathematics, the Feit–Thompson theorem, or odd order theorem, states that every finite group of odd order is solvable. It was proved by - History : conjectured that every nonabelian finite simple group has even order...
, that every finite non-abelian simple group has even order.
A notable achievement was his discovery in 1960 of the Suzuki groups, an infinite family of the only non-abelian simple groups whose order is not divisible by 3. The smallest, of order 29120, was the first simple group of order less than 1 million to be discovered since Dickson
Leonard Eugene Dickson
Leonard Eugene Dickson was an American mathematician. He was one of the first American researchers in abstract algebra, in particular the theory of finite fields and classical groups, and is also remembered for a three-volume history of number theory.-Life:Dickson considered himself a Texan by...
's list of 1900.
He classified several classes of simple groups of small rank, including the CIT-groups and C-group
C-group
In mathematical group theory, a C-group is a group such that the centralizer of any involution has a normal Sylow 2-subgroup. They include as special cases CIT-groups where the centralizer of any involution is a 2-group, and TI-groups where any Sylow 2-subgroups have trivial intersection.The simple...
s and CA-groups.
There is also a sporadic simple group called the Suzuki group
Suzuki sporadic group
In mathematical group theory, the Suzuki group Suz or Sz is a sporadic simple group of order 213 · 37 · 52· 7 · 11 · 13 = 448345497600 discovered by . It is not related to the Suzuki groups of Lie type....
, which he announced in 1968. The Tits
Jacques Tits
Jacques Tits is a Belgian and French mathematician who works on group theory and geometry and who introduced Tits buildings, the Tits alternative, and the Tits group.- Career :Tits received his doctorate in mathematics at the age of 20...
ovoid
Ovoid (projective geometry)
In PG, with q a prime power greater than 2, an ovoid is a set of q^2+1 points, no three of which collinear...
is also referred to as the Suzuki ovoid.
He wrote several textbooks in Japanese
Japanese language
is a language spoken by over 130 million people in Japan and in Japanese emigrant communities. It is a member of the Japonic language family, which has a number of proposed relationships with other languages, none of which has gained wide acceptance among historical linguists .Japanese is an...
.
See also
- Baer-Suzuki theorem
- Bender-Suzuki theorem
- Brauer-Suzuki theorem
- Brauer-Suzuki-Wall theorem
Publications
- M. Suzuki, A new type of simple groups of finite order, Proc. Natl. Acad. Sci. USA, Mathematics, v. 46 (1960), pp. 868–870.