G pÄ… p p| |Z(G)|
G G (g, x) gxg-1
G G/Z(G) G
p2 p
G p2 p
2
Zp Zp •" Zp
8 10 12
G
a b a2 G =
{e, a, a2, a3, b, ab, a2b, a3b}
G1, G2 H1 G1 H2 G2
<"
=
H1 <" H2 G1/H1 <" G2/H2 G1 <" G2
= = =
H1 <" H2 G1 <" G2 G1/H1 <" G2/H2
= = =
G1 <" G2 G1/H1 <" G2/H2 H1 <" H2
= = =
G
x gxg-1
G
G/Z(G)
G
p G
p p
K1 K2 < G K2/K1 Ć : G H
Ć(K1) Ć(K2) < H Ć(K2)/Ć(K1)
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