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From January 29, 2012 to February 11, 2012
This Week (January 29, 2012 to February 4, 2012)
Speaker: Paul Baginski (Smith College)
Time: Monday, January 30, 2012 at 4:45 pm
Place: Exley Science Center 638 (Wesleyan University)
Abstract: Stable groups have a rich literature, extending ideas about algebraic groups to a wider setting, using the framework of model theory. Stable groups gain much of their strength through their chain conditions, notably the Baldwin-Saxl chain condition. In this talk, we will concern ourselves with one mild, yet very important, chain condition shared by many infinite groups studied by group theorists. A group G is said to be M_C if every chain of centralizers C_G(A_1) < C_G(A_2)< ... is finite. This class is not elementary, yet there is increasing evidence that they share many important properties of stable groups. All the present results concern nilpotence in M_C groups. The first results in this area were purely group-theoretic, but recent results by Wagner, Altinel and Baginski have uncovered that some of the desired definability results are also present. We will recount the progress that has been made and the obstacles that researchers in this area face.
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Next Week (February 5, 2012 to February 11, 2012)
Additional Information
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University of Connecticut | 
