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Is there any non-trivial problem (maybe open problem) about the trivial group?

I asked already a question about the Laws characterizing the trivial groupLaws characterizing the trivial group. There is a description of such laws. As another example, one can ask about the first order sentences characterizing the trivial group. I am not sure if these sort of problems are trivial or easy. Is there any important (open) question about the trivial group?

Is there any non-trivial problem (maybe open problem) about the trivial group?

I asked already a question about the Laws characterizing the trivial group. There is a description of such laws. As another example, one can ask about the first order sentences characterizing the trivial group. I am not sure if these sort of problems are trivial or easy. Is there any important (open) question about the trivial group?

Is there any non-trivial problem (maybe open problem) about the trivial group?

I asked already a question about the Laws characterizing the trivial group. There is a description of such laws. As another example, one can ask about the first order sentences characterizing the trivial group. I am not sure if these sort of problems are trivial or easy. Is there any important (open) question about the trivial group?

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Sh.M1972
Sh.M1972
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Non-trivial problems about the trivial group

Is there any non-trivial problem (maybe open problem) about the trivial group?

I asked already a question about the Laws characterizing the trivial group. There is a description of such laws. As another example, one can ask about the first order sentences characterizing the trivial group. I am not sure if these sort of problems are trivial or easy. Is there any important (open) question about the trivial group?