(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am trying to solve a question from Abstract Algebra by Hernstein.

Can any one give me hint regarding the following:

Show that a group can not be written as union of 2 (proper) subgroups although it is possible to express it as union of 3 subgroups?

Thanks,

2. Relevant equations

3. The attempt at a solution

I know that the union of 2 subgroups is a group only when one is contained in another or viceversa.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Feasibility of groups as union of subgroups.

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