Every Finite Cyclic Group is isomorphic to (Zn,+) | Isomorphism of Groups | Group Theory

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CP Maths World

CP Maths World

Күн бұрын

Пікірлер: 4
@saravana4217
@saravana4217 Ай бұрын
In one-one case, a^r = a^s it doesn't imply that r=s...The counter eg is e € G where G is a Group, e³=e² but 2 is not equal to 3
@UbaidMasud
@UbaidMasud 7 ай бұрын
Last lec m hm ny G ko Z ki isomorphic prove krwna tha mapping jo define hoe us m domain G and range Z the yhe bhi hm ny G ko isomorphic to Zn prove krwna ha to mapping m domain G or range Zn q nai
@CPMathsWorld
@CPMathsWorld 7 ай бұрын
The fact that under zn ,we cant guarantee injective as we dont know the value of two numbers r and s under mod n.
@CPMathsWorld
@CPMathsWorld 7 ай бұрын
try to prove yourself,you will get it
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