Let G = where abs(a) = 30. If H = , Find abs(G:H) and list all the left cosets of H.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 10OE
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Let G = <a> where abs(a) = 30. If H = <a4>, Find abs(G:H) and list all the left cosets of H.

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Here we use the property of quotient group .

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