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Tyy posted an Question

January 15, 2021 • 04:58 am

30 points

IIT JAM
Mathematics (MA)

Find the order of euler group u12 and order of every element

find the order of euler group U12 and order of every element

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Anonymous User

if u satisfied with answer then accept it as best answer
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Anonymous User

for any doubt plz ask
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Anonymous User

since 1 is an identity element so order of an identity element in any group is always 1
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Anonymous User Best Answer

see pdf
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Anonymous User

See attachment below
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Anuj s.

Given the following Euler groups : U12={1,5,7,11} A group of order n is cyclic if and only if it has an element of order n. U12: (I will use the notation of o(x) to denote the order of the element x∈G) o(5):5²=25→25mod12=1→ o(5)=2: o(7)=7²=49→49mod12=1→o(7)=2: o(11): 11²=121→121mod12=1→o(11)=2 Then by using the above theorem , this group is indeed not a cyclic group.
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what is the order of 1
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