how many elements in z6 is
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Answered by
0
Answer:
Step-by-step explanation:
Given,
Answered by
0
Answer:
The number of the elements in are 6.
Step-by-step explanation:
Concept:-
is the integers modulo 6.
- In general, the integers mod n is the set
. n is called the modulus.
is cyclic as well as abelian group (All cyclic groups are abelian).
- The units in
are 1 and 5.
- And the subgroups of
are
,
and
.
- The order of the group
is 6.
According to the question,
Given:-
The group .
To find:-
The number elements in group.
Since the elements of the set are
, i.e.,
Substitute the value 6 for n as follows:
Clearly, contains 6 elements.
Final answer: The number of the elements in are 6.
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