Secondary Sylow Theorems

 

Title: Secondary Sylow Theorems
Author: Jakob von Raumer (psxjv4 /at/ nottingham /dot/ ac /dot/ uk)
Submission date: 2014-01-28
Abstract: These theories extend the existing proof of the first Sylow theorem (written by Florian Kammueller and L. C. Paulson) by what are often called the second, third and fourth Sylow theorems. These theorems state propositions about the number of Sylow p-subgroups of a group and the fact that they are conjugate to each other. The proofs make use of an implementation of group actions and their properties.
BibTeX:
@article{Secondary_Sylow-AFP,
  author  = {Jakob von Raumer},
  title   = {Secondary Sylow Theorems},
  journal = {Archive of Formal Proofs},
  month   = jan,
  year    = 2014,
  note    = {\url{http://isa-afp.org/entries/Secondary_Sylow.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Used by: Jordan_Hoelder