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