1. Show that G is closed under x. 2. Show that (G. x) in a cyclic grouP generated by t.
1. Show that G is closed under x. 2. Show that (G. x) in a cyclic grouP generated by t.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
whit the step
![a. If G = {1, -1, t, -1). In a group (G. x) [Hint : - -1 or i= v-1]
1. Show that G is closed under x.
2. Show that (G. x) is a cyclic group generated by i.
21L-Mathermatics for IT
Page 2 of 3
Assignment
MTDR1102
b. In the group (Z19 - (0), 19), Find the inverse of the following elements.
2
c. Let o, = (2 5 3 6) and az = (1 4 6 5 7) be two permutations of Sz.
Find (o,0z).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55b0a7ef-b3c4-489e-9408-434cc8de5ddf%2F7568d2d8-645b-4d5a-b7c0-e3c1721578c6%2Fiwnv2f7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. If G = {1, -1, t, -1). In a group (G. x) [Hint : - -1 or i= v-1]
1. Show that G is closed under x.
2. Show that (G. x) is a cyclic group generated by i.
21L-Mathermatics for IT
Page 2 of 3
Assignment
MTDR1102
b. In the group (Z19 - (0), 19), Find the inverse of the following elements.
2
c. Let o, = (2 5 3 6) and az = (1 4 6 5 7) be two permutations of Sz.
Find (o,0z).
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