# Otto Hölder

*Otto Hölder* German mathematician (1859–1937) best known for Hölder’s inequality^{} and the Jordan-Hölder theorem (http://planetmath.org/JordanHolderDecompositionTheorem). Hölder also made many essential first steps in the then emerging study of groups. Some of his results include a complete^{} classification of the groups of order (http://planetmath.org/OrderGroup) ${p}^{2},{p}^{3},{p}^{4}$, $pq$ and ${p}^{2}q$ ($p$ and $q$ different primes) and are an early example of the power of the Sylow theorems^{} for finite group^{} theory.

He studied at the University of Berlin, got his doctorate from the University of Tübingen, and taught at the University of Leipzig.

The generalized mean^{} is sometimes called the “Hölder mean”.

Title | Otto Hölder |
---|---|

Canonical name | OttoHolder |

Date of creation | 2013-03-22 16:14:22 |

Last modified on | 2013-03-22 16:14:22 |

Owner | Mravinci (12996) |

Last modified by | Mravinci (12996) |

Numerical id | 11 |

Author | Mravinci (12996) |

Entry type | Definition |

Classification | msc 01A60 |

Synonym | Otto Holder |

Synonym | Otto Hoelder |