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Let P be a finite p-group and let N be a nontrivial normal subgroup of G . Show that Ncap Zz(G)!=1 . Further conclude that
Let
P
be a finite p-group and let
N
be a nontrivial normal subgroup of
G
. Show that
N\\\\cap Zz(G)!=1
.\ Further conclude that if
N
has order
p
, then
N.
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