QUESTION 11 Given H {(1), (1 2) (3 4), (13)(24), (1 4) (2 3)}. %3D a) Show tha H is a subgroup of A b) Find all the left cosets of H in A. c) Find all the right cosets of H in A.
QUESTION 11 Given H {(1), (1 2) (3 4), (13)(24), (1 4) (2 3)}. %3D a) Show tha H is a subgroup of A b) Find all the left cosets of H in A. c) Find all the right cosets of H in A.
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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Abstract Algebra I
Transcribed Image Text:QUESTION 11
Given H = {(1), (1 2) (3 4), (13 ) (2 4), (14) (2 3)}.
%3D
a) Show tha H is a subgroup of A-
b) Find all the left cosets of H in A.
c) Find all the right cosets of H in A
d) Is H a normal subgroup of A
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