Transcribed Image Text: 5:07O 3.1 ull K/s The following is a Cayley table for a group G. The order of 4 is: 3 4 5

Transcribed Image Text: 5:07O
3.1
ull K/s
The following is a Cayley table for a group G. The order of 4 is:
3
4
5
2
3
4
5
1
2
3
4
1
2
4
2.
4
2
3
4
1
2
3
4
4
Consider the group G = {x ER such that x + 0} under the binary operation *
x*y=-2xy
The inverse element x- is:
1/4x
4/x
-4/x
2/x
LO Transcribed Image Text: 5:07 O
Consider the group G={x E R such
that x#0} under the binary operation
*: The identity element of G is e=-1/2.
The order of the element +2 is: *
2
1
3
7 4
In GL(2,Z13), det
4
35
5
11
9.

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