Explanation Consider the given statement, “Let H 1 , H 2 be finite group of an abelian group G . If G = H 1 + H 2 , then G = 〈 H 1 ∪ H 2 〉 .” We know that if H 1 , H 2 , .... , H n are finite subgroups of abelian group G such that G = H 1 + H 2 + .... + H n then G = 〈 H 1 ∪ H 2 ∪ ..... ∪ H n 〉

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Chapter 4.7, Problem 2TFE

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Whether the statement, “Let H1,H2 be finite group of an abelian group G. If G=H1+H2, then G=〈H1∪H2〉” is true or false.

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Chapter 4.7, Problem 1TFE

Chapter 4.7, Problem 1E

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Whether the statement, “Let H 1 , H 2 be finite group of an abelian group G . If G = H 1 + H 2 , then G = 〈 H 1 ∪ H 2 〉 ” is true or false.

Solution Summary: The author analyzes whether the statement, 'Let H_1,' is true or false.

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Whether the statement, “Let H1,H2 be finite group of an abelian group G. If G=H1+H2, then G=〈H1∪H2〉” is true or false.

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