i'm working on a problem that asks me to find a principal series for a p-group where the subgroups in the series have orders consecutive powers of p.(adsbygoogle = window.adsbygoogle || []).push({});

To help me think about this problem, I would like one or more examples of non abelian p-groups to work with.

The only non abelian groups I've seen are permutation groups, alternating group, and groups of rotations and symmetries of geometric objects like the square, traingle, and cube. None of these are p-groups. Can anyone give an example of a nonabelian p-group?

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# Examples of non abelian p-group

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