Peter Ludwig Mejdell Sylow () (12 December 1832 – 7 September 1918) was a
Norwegian
Norwegian, Norwayan, or Norsk may refer to:
*Something of, from, or related to Norway, a country in northwestern Europe
* Norwegians, both a nation and an ethnic group native to Norway
* Demographics of Norway
*The Norwegian language, including ...
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
who proved foundational results in
group theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups.
The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ...
.
Biography
He was born and died in
Christiania (now
Oslo
Oslo ( , , or ; sma, Oslove) is the capital and most populous city of Norway. It constitutes both a county and a municipality. The municipality of Oslo had a population of in 2022, while the city's greater urban area had a population ...
). Sylow was a son of government minister
Thomas Edvard von Westen Sylow, and a brother of military officer and sports official
Carl Sylow. He attended
Christiania Cathedral School (1850) and the
University of Christiania
The University of Oslo ( no, Universitetet i Oslo; la, Universitas Osloensis) is a public research university located in Oslo, Norway. It is the highest ranked and oldest university in Norway. It is consistently ranked among the top universit ...
(cand.real. 1856).
Sylow was a high school teacher at
Hartvig Nissen School
The Hartvig Nissen School ( no, Hartvig Nissens skole), informally referred to as Nissen, is a gymnasium in Oslo, Norway. It is located in the neighborhood Uranienborg in the affluent West End borough of Frogner. It is Norway's oldest high schoo ...
, later before becoming a headmaster in
Halden
Halden (), between 1665 and 1928 known as Fredrikshald, is both a town and a municipality in Viken county, Norway. The municipality borders Sarpsborg to the northwest, Rakkestad to the north and Aremark to the east, as well as the Swedish mun ...
from 1858 to 1898. He was a substitute lecturer at
University of Christiania
The University of Oslo ( no, Universitetet i Oslo; la, Universitas Osloensis) is a public research university located in Oslo, Norway. It is the highest ranked and oldest university in Norway. It is consistently ranked among the top universit ...
in 1862, covering
Galois theory
In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing certain problems in field theory to ...
. It was then that he posed the question that led to his theorems regarding
Sylow subgroup
In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow that give detailed information about the number of subgroups of fixe ...
s. Sylow published the
Sylow theorems
In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow that give detailed information about the number of subgroups of fixe ...
in 1872, and subsequently devoted eight years of his life, with
Sophus Lie
Marius Sophus Lie ( ; ; 17 December 1842 – 18 February 1899) was a Norwegian mathematician. He largely created the theory of continuous symmetry and applied it to the study of geometry and differential equations.
Life and career
Marius Soph ...
, to the project of editing the mathematical works of his countryman,
Niels Henrik Abel
Niels Henrik Abel ( , ; 5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields. His most famous single result is the first complete proof demonstrating the impossibility of solvin ...
. In 1898, he was appointed professor at the University of Christiania.
In 1853, he was awarded the Crown Prince's gold medal (''Kronprinsens gullmedalje'') by the
University of Oslo
The University of Oslo ( no, Universitetet i Oslo; la, Universitas Osloensis) is a public research university located in Oslo, Norway. It is the highest ranked and oldest university in Norway. It is consistently ranked among the top universit ...
. In 1868 he was elected into the
Norwegian Academy of Science and Letters
The Norwegian Academy of Science and Letters ( no, Det Norske Videnskaps-Akademi, DNVA) is a learned society based in Oslo, Norway. Its purpose is to support the advancement of science and scholarship in Norway.
History
The Royal Frederick Unive ...
. In 1894 he was awarded an honorary doctorate from the
University of Copenhagen
The University of Copenhagen ( da, Københavns Universitet, KU) is a prestigious public research university in Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in Scandinavia after Uppsala Unive ...
and became an editor for
Acta Mathematica.
References
External links
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1832 births
1918 deaths
People educated at Oslo Cathedral School
People from Halden
University of Oslo alumni
Academic staff of the University of Oslo
19th-century Norwegian mathematicians
20th-century Norwegian mathematicians
Group theorists
Recipients of the Pour le Mérite (civil class)
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