#07 how to check group is non abelian or abelian group | group of order 55 is abelian or non abelian

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how to check group is non abelian or abelian group | is group of order 55 is abelian or non abelian
find total number of automorphism in Zn ,
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How can a group of order 55 is always non- abelian??
If Z 55 is a group under addition modulo 55 then it is cyclic then also abelian.

pranjalagrawal
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If p \ (q-1) then there will be two possibility...as well as p³ ko bhi there are two choices

agni
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A group of order 93 is cyclic then obviously abelian
But according to your point of view
93=3*31 s.that 3<31
And 3 divides (31-1) so it's non abelian

Please correct my confusion 😞

Blunder_tube
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Thanks sir I got exactly what I was searching for all over internet. 🙏🙏🙏

subratpradhan