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CATEGORIES:Algebra seminar
SUMMARY:Powerfully nilpotent\, solvable and simple groups
- Gunnar Traustason (University of Bath)
DTSTART:20220427T143000Z
DTEND:20220427T153000Z
UID:TALK4786AT
URL:/talk/index/4786
DESCRIPTION:In this talk we discuss a special subclass of powe
rful groups called powerfully nilpotent groups. Th
ese are finite p-groups that possess a central ser
ies of a special kind. We will describe some struc
ture theory and a â€˜classificationâ€™ in terms of an
ancestry tree and powerful coclass. One can view p
owerfully nilpotent groups as the powerful analogu
e of nilpotent groups. There is likewise a natural
powerful analogue of solvable groups\, "powerfull
y solvable groups"\, that we will also discuss bri
efly. For a special situation one can also introdu
ce "powerfully simple groups".
LOCATION:Lecture Theatre B\, Watson Building
CONTACT:Gareth Tracey
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