I have one question.... Automorphism of Dn is isomorphic to which group ?? (Here Dn is dihedral group). I have only idea of its order.... Order of Aut(Dn) is n × phi(n).
See, a^12=e and G is cyclic group thus o(G) =12. Now generators of G is given by Euler's function phi(n)= no of positive integer less than n and coprime to n. So no of integers less than 12 and coprime to 12 are 1,5,7,11. Thus generators are a,a^5,a^7,a^11. Thus answer is a^5. I hope u got this:)
Maam sorry to again distrubing you ...kindly iska bhi ans bta dain.... Q.Let G =(b:b^17 = e) then g can be generated by A) An element to G B) Any non identity element of G C) b and b inverse are only generater of g.. D) identity..
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Excellent explanation mam
I have one question....
Automorphism of Dn is isomorphic to which group ??
(Here Dn is dihedral group).
I have only idea of its order.... Order of Aut(Dn) is n × phi(n).
Thankq Mam
Mam plz make a vedio on cachuy theorem for finite abelian group
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Kindly make lecture on automorphism of k4 and s3
Is there exist an example which is not Automorphism?
Completely understood..
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Mam plz explain Cauchy's theorem for finite Abelian groups.My exams are approaching.plz plz plz Mam
Mam isomorphism of cyclic groups par video upload kr degeye.
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Mam inner automorphism ki orr complete vdo bnao mam with example
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Csir ke liye v koi video uploaded ki ho
No.
Kindly tell the correct answer of this Let G =(a:a^12=e) , then G =?
A) a^5
B)a^6
C) a^12
D)a^8
See,
a^12=e and G is cyclic group thus o(G) =12.
Now generators of G is given by Euler's function phi(n)= no of positive integer less than n and coprime to n.
So no of integers less than 12 and coprime to 12 are 1,5,7,11.
Thus generators are a,a^5,a^7,a^11.
Thus answer is a^5.
I hope u got this:)
@@RavinaTutorial thanks alot
Ya got it .. ..
Maam sorry to again distrubing you ...kindly iska bhi ans bta dain....
Q.Let G =(b:b^17 = e) then g can be generated by
A) An element to G
B) Any non identity element of G
C) b and b inverse are only generater of g..
D) identity..
This question is same as the previous one, any non identity element can generate the group.
Use Euler function.
@@RavinaTutorial Thanks alot
Why not English?