Peter Ludwig Mejdell Sylow

This article is about a Norwegian group theorist (a Norwegian person working in group theory)

This article or section of article is sourced from:Wikipedia

Life

Personal details

Peter Ludwig Mejdell Sylow (12 December 1832 - 7 September 1918) was a Norwegian mathematician who worked in group theory. He was born and died at Christiana (Oslo).

Professional details

1858 - 1862: School teacher in Frederickshald
1862: Substitute lecturer in Christiana University

Work

Sylow's theorems

Further information: Sylow's theorem While a substitute lecturer at Christiana University, Sylow posed some questions that led to the notion of Sylow subgroup. In 1872, he published a paper describing the Sylow's theorems, which state that for any finite group $G$ :

There exist $p$ -Sylow subgroups for any $p$ dividing the order of $G$
The $p$ -Sylow subgroups are all conjugate and the number of such subgroups is 1 modulo $p$
Any $p$ -subgroup is contained in a $p$ -Sylow subgroup

Editing work

Along with Sophus Lie, Sylow worked on editing the papers of of Abel.

Terminology after this person