Questions tagged [maximal-subgroup]

To be use for both group theory and semigroup theory.

142 questions
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Find the maximal subgroups of $Z/nZ$

The problem is to find the maximal subgroups of $Z$ and $Z/nZ$. I did the first part and I found the maximal subgroups of $Z$ are: $nZ$ with n as a prime integer. I'm a little bit confused with second part. I know the structure of a subgroup of…