Sylow Theorems/Historical Note

Historical Note on Sylow Theorems
When cracking open the structure of a group, it is a useful plan to start with investigating the prime subgroups.

The Sylow Theorems are a set of results which provide us with just the sort of information we need.

was a Norwegian mathematician who established some important facts on this subject.

The name is pronounced something like "Soolof".

There is no standard numbering for the Sylow Theorems.

Different authors use different labellings.

Therefore, the following nomenclature is to a greater or lesser extent arbitrary.