Teaching UP TGT Mock Test Series 2025 Engineering Mathematics Set Theory & Algebra Groups

एक समूह G में (पर) एक समूह G' से प्रतिचित्रण f को एक समरूपता कहा जाता है यदि _____________।

1
f(xy) = f(x) f(y) ∀ x,y ∈ G
2
 f(x) = f(y), ∀ x,y ∈ G 
3
f(xy) = 0, ∀ x,y ∈ G
4
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