Let be a Prime Number, a Group, and the order of .
- 1. If divides , then has a Sylow p-Subgroup.
- 2. In a Finite Group, all the Sylow p-Subgroup are isomorphic for some
fixed .
- 3. The number of Sylow p-Subgroup for a fixed is Congruent to 1
(mod ).
© 1996-9 Eric W. Weisstein
1999-05-26