Show that a group can not be expressed as union of two of its proper subgroups. I am not sure how to start.
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asked Sep 4, 2013 at 19:56
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1$\begingroup$ You might want to check also this [entry][1] [1]: math.stackexchange.com/questions/36698/… $\endgroup$– Nicky HeksterSep 4, 2013 at 20:45
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1 Answer
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HINT: Suppose that $H,K<G$, and let $h\in H\setminus K$ and $k\in K\setminus H$; where is $hk$?
answered Sep 4, 2013 at 19:59
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$\begingroup$ I was just about to ask how to continue and I got it :) (+1) $\endgroup$– BelgiSep 4, 2013 at 20:01