2. (a) List all elements of the group U(15). Is this group cyclic? (b) Let 1 2 3 4 5 6 7 3 2 7 5 4 6 1 1 2 3 4 5 6 7 3 6 4 5 1 2 7 T = (bı) Compute the orders of o and T. (b2) Compute o. (b3) Compute the product oT and decide whether it is even or odd.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.1: Definition Of A Group
Problem 45E: 45. Let . Prove or disprove that is a group with respect to the operation of intersection. (Sec. )
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Abstract algebra problem: please help me with the (b) part

2. (a) List all elements of the group U(15). Is this group cyclic?
(b) Let
1 2 3 4 5 6 7
3 2 7 5 4 6 1
1 2 3 4 5 6 7
3 6 4 5 1 2 7
T =
(bı) Compute the orders of o and T. (b2) Compute o. (b3) Compute the
product oT and decide whether it is even or odd.
Transcribed Image Text:2. (a) List all elements of the group U(15). Is this group cyclic? (b) Let 1 2 3 4 5 6 7 3 2 7 5 4 6 1 1 2 3 4 5 6 7 3 6 4 5 1 2 7 T = (bı) Compute the orders of o and T. (b2) Compute o. (b3) Compute the product oT and decide whether it is even or odd.
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