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Prove or give a counter-example: (c) If G1∼= H 1and G2∼=H2, then G1×G2 ∼= H1 ×...

Prove or give a counter-example:

(c) If G1∼= H 1and G2∼=H2, then G1×G2 ∼= H1 × H2.

(d) If N1 is normal in G1 and N2 is normal in G2 with N1∼=N2 and G1/N1 ∼= G2/N2, then G1 ∼= G2.

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Answer #1

G,HI So a an 2: G H2 Then G G ca), R ca) X wil be an Gux HxH and GK e kn 4-o G 4 Let onder Taxe NZ Than N, 4 G, and and GyN,

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