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Abstract Algebra: Theory and Applications
· Problem 15.4.4
Rings — Thomas Judson
Mathematics — Abstract Algebra · sylow-theorems
Problem
Let
H
H
H
be a Sylow
p
p
p
-subgroup of
G
G
G
. Prove that
H
H
H
is the only Sylow
p
p
p
-subgroup of
G
G
G
contained in
N
(
H
)
N(H)
N
(
H
)
.
Related theory
Sylow S Theorems
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