Math, asked by sabasheerfa973, 11 months ago

Give example of to prove that union of two groups need not be a group.

Answers

Answered by avanisharma1979
0

Answer:

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Step-by-step explanation:

If a group G is a union of two proper subgroup H1 and H2, then we must have H1⊄H2 and H2⊄H1, otherwise G=H1 or G=H2 and this is impossible as H1,H2 are proper subgroups. ... Thus, any group cannot be a union of proper subgroups.

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