# Peter Ludwig Mejdell Sylow

> Norwegian mathematician (1832-1918)

**Wikidata**: [Q320298](https://www.wikidata.org/wiki/Q320298)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Peter_Ludvig_Sylow)  
**Source**: https://4ort.xyz/entity/peter-ludwig-mejdell-sylow

## Summary
Peter Ludwig Mejdell Sylow was a Norwegian mathematician (1832–1918) best known for his contributions to group theory, particularly the Sylow theorems. His work laid foundational principles in the algebraic study of groups, influencing modern mathematics and theoretical computer science.

## Biography
- **Born**: December 12, 1832, in Christiania (now Oslo), Norway
- **Nationality**: Norwegian
- **Education**:
  - Oslo Cathedral School (1849–1850)
  - Hartvig Nissen School (1850–1851)
  - University of Oslo (1851–1852)
  - University of Copenhagen (1852–1854)
- **Known for**: Formulating the Sylow theorems in group theory
- **Employer(s)**:
  - University of Oslo (1854–1918)
  - Norwegian Academy of Science and Letters (1857–1918)
  - Göttingen Academy of Sciences and Humanities in Lower Saxony (1902)
- **Field(s)**: Group theory, mathematics

## Contributions
- **Sylow Theorems**: Published in 1872, these theorems classify subgroups within finite groups, providing a framework for understanding group structures. The theorems are fundamental in modern algebra and have applications in cryptography and computational complexity.
- **Teaching and Mentorship**: Taught at the University of Oslo and mentored numerous mathematicians, shaping the development of Norwegian mathematical education.
- **Academic Recognition**: Awarded the honorary doctorate of the University of Copenhagen (1895) and the Pour le Mérite for Sciences and Arts (1902).

## FAQs
**What are Peter Ludwig Mejdell Sylow's most significant contributions to mathematics?**
Sylow's most significant contribution is the Sylow theorems, which classify subgroups within finite groups. These theorems are foundational in group theory and have applications in cryptography and computational complexity.

**Where did Peter Ludwig Mejdell Sylow study and teach?**
He studied at the University of Oslo and the University of Copenhagen before teaching at the University of Oslo and serving on the Norwegian Academy of Science and Letters.

**What awards did Peter Ludwig Mejdell Sylow receive?**
He received the honorary doctorate of the University of Copenhagen (1895) and the Pour le Mérite for Sciences and Arts (1902).

## Why They Matter
Peter Ludwig Mejdell Sylow's work on the Sylow theorems revolutionized group theory, providing essential tools for analyzing group structures. His theorems remain a cornerstone of modern algebra and have applications in cryptography, computational complexity, and theoretical computer science. His influence extends to the development of Norwegian mathematical education and the mentorship of future mathematicians.

## Notable For
- **Sylow Theorems**: Fundamental contributions to group theory
- **Academic Leadership**: Shaped Norwegian mathematical education
- **Honorary Doctorate**: Awarded by the University of Copenhagen (1895)
- **Pour le Mérite**: Received the prestigious Pour le Mérite for Sciences and Arts (1902)

## Body
### Early Life and Education
Peter Ludwig Mejdell Sylow was born on December 12, 1832, in Christiania (now Oslo), Norway. He attended Oslo Cathedral School (1849–1850) and Hartvig Nissen School (1850–1851) before enrolling at the University of Oslo (1851–1852). He later studied at the University of Copenhagen (1852–1854), where he developed his early mathematical interests.

### Academic Career
Sylow began teaching at the University of Oslo in 1854 and became a member of the Norwegian Academy of Science and Letters in 1857. His academic career spanned over 60 years, during which he mentored numerous mathematicians and contributed to the development of Norwegian mathematical education.

### Mathematical Contributions
In 1872, Sylow published the Sylow theorems, which classify subgroups within finite groups. These theorems are foundational in group theory and have applications in cryptography, computational complexity, and theoretical computer science. His work laid the groundwork for further research in algebra and number theory.

### Awards and Recognition
Sylow received the honorary doctorate of the University of Copenhagen in 1895 and the Pour le Mérite for Sciences and Arts in 1902. These awards recognized his significant contributions to mathematics and his leadership in the academic community.

### Legacy
Peter Ludwig Mejdell Sylow's work on the Sylow theorems remains a cornerstone of modern algebra. His influence extends to the development of Norwegian mathematical education and the mentorship of future mathematicians. His legacy continues to shape the field of group theory and its applications in various scientific disciplines.

## References

1. MacTutor History of Mathematics archive
2. BnF authorities
3. Integrated Authority File
4. Mathematics Genealogy Project
5. Czech National Authority Database
6. International Standard Name Identifier
7. Virtual International Authority File
8. CiNii Research
9. Norsk biografisk leksikon
10. Freebase Data Dumps. 2013
11. [BnF authorities](http://data.bnf.fr/ark:/12148/cb130907471)