University of Birmingham > Talks@bham > Algebra Seminar  > Powerfully nilpotent, solvable and simple groups

Powerfully nilpotent, solvable and simple groups

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If you have a question about this talk, please contact Gareth Tracey.

In this talk we discuss a special subclass of powerful groups called powerfully nilpotent groups. These are finite p-groups that possess a central series of a special kind. We will describe some structure theory and a ‘classification’ in terms of an ancestry tree and powerful coclass. One can view powerfully nilpotent groups as the powerful analogue of nilpotent groups. There is likewise a natural powerful analogue of solvable groups, “powerfully solvable groups”, that we will also discuss briefly. For a special situation one can also introduce “powerfully simple groups”.

This talk is part of the Algebra Seminar series.

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