Let H be a cyclic group of order 36 under the addition operation. a) Identify all subgroups

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Let H be a cyclic group of order 36 under the addition operation.

a) Identify all subgroups of order 9. Explain how these groups are obtained.

b) Construct a subgroup lattice diagram for H

c) Give a group G that is isomorphic to H. Explain how to show that G is isomorphic to H.

d) Up to isomorphism, describe all finitely generated abelian groups of order 36. Then, explain why they are not isomorphic to each other.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Posted Date: May 04, 2021 08:47 PM

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Let H be a cyclic group of order 36 under the addition operation. a) Identify all subgroups

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a In a group of order 36 the only subgroup of order 9 is the cyclic group generated by an element of ... View the full answer

An Introduction to Analysis

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