📜 Theorem, law or theory

Sylow theorems

Teoremas de Sylow

Date
1872 · confidence high
Place
Oslo (Christiania), Norway
Credited to
Peter Ludwig Sylow
Field
Knowledge & symbols

What was discovered

A set of theorems giving detailed information on how many subgroups of a given order (a prime power) a finite group contains. They form a central part of group theory and are essential for classifying finite simple groups.

What it led to

  • The classification of finite simple groups
  • A standard tool in abstract algebra and group theory

Links

Sources✓ verified 2026-09-28