# Peter Ludwig Mejdell Sylow

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*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

## Contents

## 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 :

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

### Editing work

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