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

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

* * * * 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) {{Europe-mathematician-stub